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Finding the Third Proportional to 259,476 and 558,966

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Solution

The third proportional to 259,476 and 558,966 is: 1,204,130.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,476 : 558,966 = 558,966 : x
  2. Step 2: Convert to fraction form
    259,476/558,966 = 558,966/x
  3. Step 3: Cross multiply
    259,476x = 558,966 × 558,966
  4. Step 4: Simplify right side
    259,476x = 312,442,989,156
  5. Step 5: Solve for x
    x = 312,442,989,156/259,476
  6. Step 6: Final answer
    x = 1,204,130.59

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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.