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Finding the Third Proportional to 465,488 and 711,764

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Solution

The third proportional to 465,488 and 711,764 is: 1,088,337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,488 : 711,764 = 711,764 : x
  2. Step 2: Convert to fraction form
    465,488/711,764 = 711,764/x
  3. Step 3: Cross multiply
    465,488x = 711,764 × 711,764
  4. Step 4: Simplify right side
    465,488x = 506,607,991,696
  5. Step 5: Solve for x
    x = 506,607,991,696/465,488
  6. Step 6: Final answer
    x = 1,088,337.38

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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.