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Finding the Third Proportional to 322,744 and 497,722

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Solution

The third proportional to 322,744 and 497,722 is: 767,565.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,744 : 497,722 = 497,722 : x
  2. Step 2: Convert to fraction form
    322,744/497,722 = 497,722/x
  3. Step 3: Cross multiply
    322,744x = 497,722 × 497,722
  4. Step 4: Simplify right side
    322,744x = 247,727,189,284
  5. Step 5: Solve for x
    x = 247,727,189,284/322,744
  6. Step 6: Final answer
    x = 767,565.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.