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Finding the Third Proportional to 252,982.13 and 384,652.13

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Solution

The third proportional to 252,982.13 and 384,652.13 is: 584,852.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,982.13 : 384,652.13 = 384,652.13 : x
  2. Step 2: Convert to fraction form
    252,982.13/384,652.13 = 384,652.13/x
  3. Step 3: Cross multiply
    252,982.13x = 384,652.13 × 384,652.13
  4. Step 4: Simplify right side
    252,982.13x = 147,957,257,267.02
  5. Step 5: Solve for x
    x = 147,957,257,267.02/252,982.13
  6. Step 6: Final answer
    x = 584,852.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.