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Finding the Third Proportional to 259,902 and 564,273

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Solution

The third proportional to 259,902 and 564,273 is: 1,225,092.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,902 : 564,273 = 564,273 : x
  2. Step 2: Convert to fraction form
    259,902/564,273 = 564,273/x
  3. Step 3: Cross multiply
    259,902x = 564,273 × 564,273
  4. Step 4: Simplify right side
    259,902x = 318,404,018,529
  5. Step 5: Solve for x
    x = 318,404,018,529/259,902
  6. Step 6: Final answer
    x = 1,225,092.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.