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Finding the Third Proportional to 258,860 and 530,264

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Solution

The third proportional to 258,860 and 530,264 is: 1,086,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,860 : 530,264 = 530,264 : x
  2. Step 2: Convert to fraction form
    258,860/530,264 = 530,264/x
  3. Step 3: Cross multiply
    258,860x = 530,264 × 530,264
  4. Step 4: Simplify right side
    258,860x = 281,179,909,696
  5. Step 5: Solve for x
    x = 281,179,909,696/258,860
  6. Step 6: Final answer
    x = 1,086,223.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.