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Finding the Third Proportional to 349,716 and 762,663

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Solution

The third proportional to 349,716 and 762,663 is: 1,663,220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,716 : 762,663 = 762,663 : x
  2. Step 2: Convert to fraction form
    349,716/762,663 = 762,663/x
  3. Step 3: Cross multiply
    349,716x = 762,663 × 762,663
  4. Step 4: Simplify right side
    349,716x = 581,654,851,569
  5. Step 5: Solve for x
    x = 581,654,851,569/349,716
  6. Step 6: Final answer
    x = 1,663,220.59

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Why These Related Problems?

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