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Finding the Third Proportional to 259,792 and 389,688

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Solution

The third proportional to 259,792 and 389,688 is: 584,532

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,792 : 389,688 = 389,688 : x
  2. Step 2: Convert to fraction form
    259,792/389,688 = 389,688/x
  3. Step 3: Cross multiply
    259,792x = 389,688 × 389,688
  4. Step 4: Simplify right side
    259,792x = 151,856,737,344
  5. Step 5: Solve for x
    x = 151,856,737,344/259,792
  6. Step 6: Final answer
    x = 584,532

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.