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Finding the Third Proportional to 491,208 and 738,637

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Solution

The third proportional to 491,208 and 738,637 is: 1,110,699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,208 : 738,637 = 738,637 : x
  2. Step 2: Convert to fraction form
    491,208/738,637 = 738,637/x
  3. Step 3: Cross multiply
    491,208x = 738,637 × 738,637
  4. Step 4: Simplify right side
    491,208x = 545,584,617,769
  5. Step 5: Solve for x
    x = 545,584,617,769/491,208
  6. Step 6: Final answer
    x = 1,110,699.78

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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.