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Finding the Third Proportional to 485,688 and 723,552

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Solution

The third proportional to 485,688 and 723,552 is: 1,077,909.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,688 : 723,552 = 723,552 : x
  2. Step 2: Convert to fraction form
    485,688/723,552 = 723,552/x
  3. Step 3: Cross multiply
    485,688x = 723,552 × 723,552
  4. Step 4: Simplify right side
    485,688x = 523,527,496,704
  5. Step 5: Solve for x
    x = 523,527,496,704/485,688
  6. Step 6: Final answer
    x = 1,077,909.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.