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Finding the Third Proportional to 491,722 and 741,045

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Solution

The third proportional to 491,722 and 741,045 is: 1,116,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,722 : 741,045 = 741,045 : x
  2. Step 2: Convert to fraction form
    491,722/741,045 = 741,045/x
  3. Step 3: Cross multiply
    491,722x = 741,045 × 741,045
  4. Step 4: Simplify right side
    491,722x = 549,147,692,025
  5. Step 5: Solve for x
    x = 549,147,692,025/491,722
  6. Step 6: Final answer
    x = 1,116,784.87

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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.