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Finding the Third Proportional to 344,691 and 753,534

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Solution

The third proportional to 344,691 and 753,534 is: 1,647,311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,691 : 753,534 = 753,534 : x
  2. Step 2: Convert to fraction form
    344,691/753,534 = 753,534/x
  3. Step 3: Cross multiply
    344,691x = 753,534 × 753,534
  4. Step 4: Simplify right side
    344,691x = 567,813,489,156
  5. Step 5: Solve for x
    x = 567,813,489,156/344,691
  6. Step 6: Final answer
    x = 1,647,311.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.