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Finding the Third Proportional to 516,253.50 and 1,107,239.25

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Solution

The third proportional to 516,253.50 and 1,107,239.25 is: 2,374,761.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,253.50 : 1,107,239.25 = 1,107,239.25 : x
  2. Step 2: Convert to fraction form
    516,253.50/1,107,239.25 = 1,107,239.25/x
  3. Step 3: Cross multiply
    516,253.50x = 1,107,239.25 × 1,107,239.25
  4. Step 4: Simplify right side
    516,253.50x = 1,225,978,756,740.56
  5. Step 5: Solve for x
    x = 1,225,978,756,740.56/516,253.50
  6. Step 6: Final answer
    x = 2,374,761.15

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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.