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Finding the Third Proportional to 491,594 and 741,903

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Solution

The third proportional to 491,594 and 741,903 is: 1,119,663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,594 : 741,903 = 741,903 : x
  2. Step 2: Convert to fraction form
    491,594/741,903 = 741,903/x
  3. Step 3: Cross multiply
    491,594x = 741,903 × 741,903
  4. Step 4: Simplify right side
    491,594x = 550,420,061,409
  5. Step 5: Solve for x
    x = 550,420,061,409/491,594
  6. Step 6: Final answer
    x = 1,119,663.91

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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.