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Finding the Third Proportional to 465,476 and 711,751

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Solution

The third proportional to 465,476 and 711,751 is: 1,088,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,476 : 711,751 = 711,751 : x
  2. Step 2: Convert to fraction form
    465,476/711,751 = 711,751/x
  3. Step 3: Cross multiply
    465,476x = 711,751 × 711,751
  4. Step 4: Simplify right side
    465,476x = 506,589,486,001
  5. Step 5: Solve for x
    x = 506,589,486,001/465,476
  6. Step 6: Final answer
    x = 1,088,325.68

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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.