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Finding the Third Proportional to 322,742 and 497,719

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Solution

The third proportional to 322,742 and 497,719 is: 767,561.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,742 : 497,719 = 497,719 : x
  2. Step 2: Convert to fraction form
    322,742/497,719 = 497,719/x
  3. Step 3: Cross multiply
    322,742x = 497,719 × 497,719
  4. Step 4: Simplify right side
    322,742x = 247,724,202,961
  5. Step 5: Solve for x
    x = 247,724,202,961/322,742
  6. Step 6: Final answer
    x = 767,561.10

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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.