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Finding the Third Proportional to 250,637.68 and 541,225.39

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Solution

The third proportional to 250,637.68 and 541,225.39 is: 1,168,718.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,637.68 : 541,225.39 = 541,225.39 : x
  2. Step 2: Convert to fraction form
    250,637.68/541,225.39 = 541,225.39/x
  3. Step 3: Cross multiply
    250,637.68x = 541,225.39 × 541,225.39
  4. Step 4: Simplify right side
    250,637.68x = 292,924,921,343.05
  5. Step 5: Solve for x
    x = 292,924,921,343.05/250,637.68
  6. Step 6: Final answer
    x = 1,168,718.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.