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Finding the Third Proportional to 491,604 and 741,918

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Solution

The third proportional to 491,604 and 741,918 is: 1,119,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,604 : 741,918 = 741,918 : x
  2. Step 2: Convert to fraction form
    491,604/741,918 = 741,918/x
  3. Step 3: Cross multiply
    491,604x = 741,918 × 741,918
  4. Step 4: Simplify right side
    491,604x = 550,442,318,724
  5. Step 5: Solve for x
    x = 550,442,318,724/491,604
  6. Step 6: Final answer
    x = 1,119,686.41

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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.