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Finding the Third Proportional to 262,604.53 and 576,051.75

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Solution

The third proportional to 262,604.53 and 576,051.75 is: 1,263,632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,604.53 : 576,051.75 = 576,051.75 : x
  2. Step 2: Convert to fraction form
    262,604.53/576,051.75 = 576,051.75/x
  3. Step 3: Cross multiply
    262,604.53x = 576,051.75 × 576,051.75
  4. Step 4: Simplify right side
    262,604.53x = 331,835,618,678.06
  5. Step 5: Solve for x
    x = 331,835,618,678.06/262,604.53
  6. Step 6: Final answer
    x = 1,263,632.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.