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Finding the Third Proportional to 537,204.66 and 1,165,984.24

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Solution

The third proportional to 537,204.66 and 1,165,984.24 is: 2,530,728.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,204.66 : 1,165,984.24 = 1,165,984.24 : x
  2. Step 2: Convert to fraction form
    537,204.66/1,165,984.24 = 1,165,984.24/x
  3. Step 3: Cross multiply
    537,204.66x = 1,165,984.24 × 1,165,984.24
  4. Step 4: Simplify right side
    537,204.66x = 1,359,519,253,029.56
  5. Step 5: Solve for x
    x = 1,359,519,253,029.56/537,204.66
  6. Step 6: Final answer
    x = 2,530,728.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.