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Finding the Third Proportional to 367,060 and 680,719

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Solution

The third proportional to 367,060 and 680,719 is: 1,262,404.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,060 : 680,719 = 680,719 : x
  2. Step 2: Convert to fraction form
    367,060/680,719 = 680,719/x
  3. Step 3: Cross multiply
    367,060x = 680,719 × 680,719
  4. Step 4: Simplify right side
    367,060x = 463,378,356,961
  5. Step 5: Solve for x
    x = 463,378,356,961/367,060
  6. Step 6: Final answer
    x = 1,262,404.94

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.