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Finding the Third Proportional to 465,479 and 711,757

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Solution

The third proportional to 465,479 and 711,757 is: 1,088,337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,479 : 711,757 = 711,757 : x
  2. Step 2: Convert to fraction form
    465,479/711,757 = 711,757/x
  3. Step 3: Cross multiply
    465,479x = 711,757 × 711,757
  4. Step 4: Simplify right side
    465,479x = 506,598,027,049
  5. Step 5: Solve for x
    x = 506,598,027,049/465,479
  6. Step 6: Final answer
    x = 1,088,337.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.