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Finding the Third Proportional to 413,254.75 and 638,306.13

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Solution

The third proportional to 413,254.75 and 638,306.13 is: 985,916.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,254.75 : 638,306.13 = 638,306.13 : x
  2. Step 2: Convert to fraction form
    413,254.75/638,306.13 = 638,306.13/x
  3. Step 3: Cross multiply
    413,254.75x = 638,306.13 × 638,306.13
  4. Step 4: Simplify right side
    413,254.75x = 407,434,709,212.52
  5. Step 5: Solve for x
    x = 407,434,709,212.52/413,254.75
  6. Step 6: Final answer
    x = 985,916.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.