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Finding the Third Proportional to 349,446 and 762,150

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Solution

The third proportional to 349,446 and 762,150 is: 1,662,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,446 : 762,150 = 762,150 : x
  2. Step 2: Convert to fraction form
    349,446/762,150 = 762,150/x
  3. Step 3: Cross multiply
    349,446x = 762,150 × 762,150
  4. Step 4: Simplify right side
    349,446x = 580,872,622,500
  5. Step 5: Solve for x
    x = 580,872,622,500/349,446
  6. Step 6: Final answer
    x = 1,662,267.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.