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Finding the Third Proportional to 252,981 and 541,824.75

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Solution

The third proportional to 252,981 and 541,824.75 is: 1,160,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,981 : 541,824.75 = 541,824.75 : x
  2. Step 2: Convert to fraction form
    252,981/541,824.75 = 541,824.75/x
  3. Step 3: Cross multiply
    252,981x = 541,824.75 × 541,824.75
  4. Step 4: Simplify right side
    252,981x = 293,574,059,712.56
  5. Step 5: Solve for x
    x = 293,574,059,712.56/252,981
  6. Step 6: Final answer
    x = 1,160,458.93

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Why These Related Problems?

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