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Finding the Third Proportional to 415,872 and 626,766

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Solution

The third proportional to 415,872 and 626,766 is: 944,607.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,872 : 626,766 = 626,766 : x
  2. Step 2: Convert to fraction form
    415,872/626,766 = 626,766/x
  3. Step 3: Cross multiply
    415,872x = 626,766 × 626,766
  4. Step 4: Simplify right side
    415,872x = 392,835,618,756
  5. Step 5: Solve for x
    x = 392,835,618,756/415,872
  6. Step 6: Final answer
    x = 944,607.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.