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Finding the Third Proportional to 255,524,838.75 and 554,659,530.75

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Solution

The third proportional to 255,524,838.75 and 554,659,530.75 is: 1,203,981,564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,524,838.75 : 554,659,530.75 = 554,659,530.75 : x
  2. Step 2: Convert to fraction form
    255,524,838.75/554,659,530.75 = 554,659,530.75/x
  3. Step 3: Cross multiply
    255,524,838.75x = 554,659,530.75 × 554,659,530.75
  4. Step 4: Simplify right side
    255,524,838.75x = 307,647,195,051,810,176
  5. Step 5: Solve for x
    x = 307,647,195,051,810,176/255,524,838.75
  6. Step 6: Final answer
    x = 1,203,981,564.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.