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Finding the Third Proportional to 327,900 and 707,472

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Solution

The third proportional to 327,900 and 707,472 is: 1,526,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,900 : 707,472 = 707,472 : x
  2. Step 2: Convert to fraction form
    327,900/707,472 = 707,472/x
  3. Step 3: Cross multiply
    327,900x = 707,472 × 707,472
  4. Step 4: Simplify right side
    327,900x = 500,516,630,784
  5. Step 5: Solve for x
    x = 500,516,630,784/327,900
  6. Step 6: Final answer
    x = 1,526,430.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.