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Finding the Third Proportional to 753,041.81 and 1,147,229.58

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Solution

The third proportional to 753,041.81 and 1,147,229.58 is: 1,747,759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,041.81 : 1,147,229.58 = 1,147,229.58 : x
  2. Step 2: Convert to fraction form
    753,041.81/1,147,229.58 = 1,147,229.58/x
  3. Step 3: Cross multiply
    753,041.81x = 1,147,229.58 × 1,147,229.58
  4. Step 4: Simplify right side
    753,041.81x = 1,316,135,704,924.87
  5. Step 5: Solve for x
    x = 1,316,135,704,924.87/753,041.81
  6. Step 6: Final answer
    x = 1,747,759.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.