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Finding the Third Proportional to 465,484 and 711,766

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Solution

The third proportional to 465,484 and 711,766 is: 1,088,352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,484 : 711,766 = 711,766 : x
  2. Step 2: Convert to fraction form
    465,484/711,766 = 711,766/x
  3. Step 3: Cross multiply
    465,484x = 711,766 × 711,766
  4. Step 4: Simplify right side
    465,484x = 506,610,838,756
  5. Step 5: Solve for x
    x = 506,610,838,756/465,484
  6. Step 6: Final answer
    x = 1,088,352.85

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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.