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Finding the Third Proportional to 259,437 and 558,134

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Solution

The third proportional to 259,437 and 558,134 is: 1,200,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,437 : 558,134 = 558,134 : x
  2. Step 2: Convert to fraction form
    259,437/558,134 = 558,134/x
  3. Step 3: Cross multiply
    259,437x = 558,134 × 558,134
  4. Step 4: Simplify right side
    259,437x = 311,513,561,956
  5. Step 5: Solve for x
    x = 311,513,561,956/259,437
  6. Step 6: Final answer
    x = 1,200,729.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.