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Finding the Third Proportional to 252,883.13 and 541,746.56

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Solution

The third proportional to 252,883.13 and 541,746.56 is: 1,160,573.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,883.13 : 541,746.56 = 541,746.56 : x
  2. Step 2: Convert to fraction form
    252,883.13/541,746.56 = 541,746.56/x
  3. Step 3: Cross multiply
    252,883.13x = 541,746.56 × 541,746.56
  4. Step 4: Simplify right side
    252,883.13x = 293,489,337,980.57
  5. Step 5: Solve for x
    x = 293,489,337,980.57/252,883.13
  6. Step 6: Final answer
    x = 1,160,573.04

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.