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Finding the Third Proportional to 344,524 and 738,860

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Solution

The third proportional to 344,524 and 738,860 is: 1,584,545.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,524 : 738,860 = 738,860 : x
  2. Step 2: Convert to fraction form
    344,524/738,860 = 738,860/x
  3. Step 3: Cross multiply
    344,524x = 738,860 × 738,860
  4. Step 4: Simplify right side
    344,524x = 545,914,099,600
  5. Step 5: Solve for x
    x = 545,914,099,600/344,524
  6. Step 6: Final answer
    x = 1,584,545.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.