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Finding the Third Proportional to 259,612 and 558,005

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Solution

The third proportional to 259,612 and 558,005 is: 1,199,365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,612 : 558,005 = 558,005 : x
  2. Step 2: Convert to fraction form
    259,612/558,005 = 558,005/x
  3. Step 3: Cross multiply
    259,612x = 558,005 × 558,005
  4. Step 4: Simplify right side
    259,612x = 311,369,580,025
  5. Step 5: Solve for x
    x = 311,369,580,025/259,612
  6. Step 6: Final answer
    x = 1,199,365.13

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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.