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Finding the Third Proportional to 283,132.13 and 622,215

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Solution

The third proportional to 283,132.13 and 622,215 is: 1,367,388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,132.13 : 622,215 = 622,215 : x
  2. Step 2: Convert to fraction form
    283,132.13/622,215 = 622,215/x
  3. Step 3: Cross multiply
    283,132.13x = 622,215 × 622,215
  4. Step 4: Simplify right side
    283,132.13x = 387,151,506,225
  5. Step 5: Solve for x
    x = 387,151,506,225/283,132.13
  6. Step 6: Final answer
    x = 1,367,388.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.