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Finding the Third Proportional to 270,644.63 and 420,698.81

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Solution

The third proportional to 270,644.63 and 420,698.81 is: 653,947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,644.63 : 420,698.81 = 420,698.81 : x
  2. Step 2: Convert to fraction form
    270,644.63/420,698.81 = 420,698.81/x
  3. Step 3: Cross multiply
    270,644.63x = 420,698.81 × 420,698.81
  4. Step 4: Simplify right side
    270,644.63x = 176,987,490,838.91
  5. Step 5: Solve for x
    x = 176,987,490,838.91/270,644.63
  6. Step 6: Final answer
    x = 653,947.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.