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Finding the Third Proportional to 259,484 and 558,964

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Solution

The third proportional to 259,484 and 558,964 is: 1,204,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,484 : 558,964 = 558,964 : x
  2. Step 2: Convert to fraction form
    259,484/558,964 = 558,964/x
  3. Step 3: Cross multiply
    259,484x = 558,964 × 558,964
  4. Step 4: Simplify right side
    259,484x = 312,440,753,296
  5. Step 5: Solve for x
    x = 312,440,753,296/259,484
  6. Step 6: Final answer
    x = 1,204,084.85

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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.