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Finding the Third Proportional to 259,410 and 569,892

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Solution

The third proportional to 259,410 and 569,892 is: 1,251,982.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,410 : 569,892 = 569,892 : x
  2. Step 2: Convert to fraction form
    259,410/569,892 = 569,892/x
  3. Step 3: Cross multiply
    259,410x = 569,892 × 569,892
  4. Step 4: Simplify right side
    259,410x = 324,776,891,664
  5. Step 5: Solve for x
    x = 324,776,891,664/259,410
  6. Step 6: Final answer
    x = 1,251,982.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.