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Finding the Third Proportional to 491,719.50 and 741,042

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Solution

The third proportional to 491,719.50 and 741,042 is: 1,116,781.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,719.50 : 741,042 = 741,042 : x
  2. Step 2: Convert to fraction form
    491,719.50/741,042 = 741,042/x
  3. Step 3: Cross multiply
    491,719.50x = 741,042 × 741,042
  4. Step 4: Simplify right side
    491,719.50x = 549,143,245,764
  5. Step 5: Solve for x
    x = 549,143,245,764/491,719.50
  6. Step 6: Final answer
    x = 1,116,781.51

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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.