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Finding the Third Proportional to 259,662 and 558,102

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Solution

The third proportional to 259,662 and 558,102 is: 1,199,551.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,662 : 558,102 = 558,102 : x
  2. Step 2: Convert to fraction form
    259,662/558,102 = 558,102/x
  3. Step 3: Cross multiply
    259,662x = 558,102 × 558,102
  4. Step 4: Simplify right side
    259,662x = 311,477,842,404
  5. Step 5: Solve for x
    x = 311,477,842,404/259,662
  6. Step 6: Final answer
    x = 1,199,551.12

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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.