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Finding the Third Proportional to 247,832 and 384,292

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Solution

The third proportional to 247,832 and 384,292 is: 595,888.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,832 : 384,292 = 384,292 : x
  2. Step 2: Convert to fraction form
    247,832/384,292 = 384,292/x
  3. Step 3: Cross multiply
    247,832x = 384,292 × 384,292
  4. Step 4: Simplify right side
    247,832x = 147,680,341,264
  5. Step 5: Solve for x
    x = 147,680,341,264/247,832
  6. Step 6: Final answer
    x = 595,888.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.