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Finding the Third Proportional to 247,090.50 and 541,458

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Solution

The third proportional to 247,090.50 and 541,458 is: 1,186,515.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,090.50 : 541,458 = 541,458 : x
  2. Step 2: Convert to fraction form
    247,090.50/541,458 = 541,458/x
  3. Step 3: Cross multiply
    247,090.50x = 541,458 × 541,458
  4. Step 4: Simplify right side
    247,090.50x = 293,176,765,764
  5. Step 5: Solve for x
    x = 293,176,765,764/247,090.50
  6. Step 6: Final answer
    x = 1,186,515.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.