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Finding the Third Proportional to 331,704 and 497,033

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Solution

The third proportional to 331,704 and 497,033 is: 744,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,704 : 497,033 = 497,033 : x
  2. Step 2: Convert to fraction form
    331,704/497,033 = 497,033/x
  3. Step 3: Cross multiply
    331,704x = 497,033 × 497,033
  4. Step 4: Simplify right side
    331,704x = 247,041,803,089
  5. Step 5: Solve for x
    x = 247,041,803,089/331,704
  6. Step 6: Final answer
    x = 744,765.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.