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Finding the Third Proportional to 491,731 and 741,059

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Solution

The third proportional to 491,731 and 741,059 is: 1,116,806.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,731 : 741,059 = 741,059 : x
  2. Step 2: Convert to fraction form
    491,731/741,059 = 741,059/x
  3. Step 3: Cross multiply
    491,731x = 741,059 × 741,059
  4. Step 4: Simplify right side
    491,731x = 549,168,441,481
  5. Step 5: Solve for x
    x = 549,168,441,481/491,731
  6. Step 6: Final answer
    x = 1,116,806.63

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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.