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Finding the Third Proportional to 344,834 and 517,719

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Solution

The third proportional to 344,834 and 517,719 is: 777,281.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,834 : 517,719 = 517,719 : x
  2. Step 2: Convert to fraction form
    344,834/517,719 = 517,719/x
  3. Step 3: Cross multiply
    344,834x = 517,719 × 517,719
  4. Step 4: Simplify right side
    344,834x = 268,032,962,961
  5. Step 5: Solve for x
    x = 268,032,962,961/344,834
  6. Step 6: Final answer
    x = 777,281.14

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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.