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Finding the Third Proportional to 473,598 and 724,494

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Solution

The third proportional to 473,598 and 724,494 is: 1,108,306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,598 : 724,494 = 724,494 : x
  2. Step 2: Convert to fraction form
    473,598/724,494 = 724,494/x
  3. Step 3: Cross multiply
    473,598x = 724,494 × 724,494
  4. Step 4: Simplify right side
    473,598x = 524,891,556,036
  5. Step 5: Solve for x
    x = 524,891,556,036/473,598
  6. Step 6: Final answer
    x = 1,108,306.11

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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.