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Finding the Third Proportional to 491,598 and 741,909

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Solution

The third proportional to 491,598 and 741,909 is: 1,119,672.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,598 : 741,909 = 741,909 : x
  2. Step 2: Convert to fraction form
    491,598/741,909 = 741,909/x
  3. Step 3: Cross multiply
    491,598x = 741,909 × 741,909
  4. Step 4: Simplify right side
    491,598x = 550,428,964,281
  5. Step 5: Solve for x
    x = 550,428,964,281/491,598
  6. Step 6: Final answer
    x = 1,119,672.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.