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Finding the Third Proportional to 473,566 and 724,443

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Solution

The third proportional to 473,566 and 724,443 is: 1,108,224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,566 : 724,443 = 724,443 : x
  2. Step 2: Convert to fraction form
    473,566/724,443 = 724,443/x
  3. Step 3: Cross multiply
    473,566x = 724,443 × 724,443
  4. Step 4: Simplify right side
    473,566x = 524,817,660,249
  5. Step 5: Solve for x
    x = 524,817,660,249/473,566
  6. Step 6: Final answer
    x = 1,108,224.96

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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.