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Finding the Third Proportional to 520,269.75 and 1,134,836.44

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Solution

The third proportional to 520,269.75 and 1,134,836.44 is: 2,475,357.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,269.75 : 1,134,836.44 = 1,134,836.44 : x
  2. Step 2: Convert to fraction form
    520,269.75/1,134,836.44 = 1,134,836.44/x
  3. Step 3: Cross multiply
    520,269.75x = 1,134,836.44 × 1,134,836.44
  4. Step 4: Simplify right side
    520,269.75x = 1,287,853,739,877.69
  5. Step 5: Solve for x
    x = 1,287,853,739,877.69/520,269.75
  6. Step 6: Final answer
    x = 2,475,357.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.