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Finding the Third Proportional to 259,898 and 569,432

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Solution

The third proportional to 259,898 and 569,432 is: 1,247,615.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,898 : 569,432 = 569,432 : x
  2. Step 2: Convert to fraction form
    259,898/569,432 = 569,432/x
  3. Step 3: Cross multiply
    259,898x = 569,432 × 569,432
  4. Step 4: Simplify right side
    259,898x = 324,252,802,624
  5. Step 5: Solve for x
    x = 324,252,802,624/259,898
  6. Step 6: Final answer
    x = 1,247,615.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.