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Finding the Third Proportional to 537,711.75 and 825,366.38

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Solution

The third proportional to 537,711.75 and 825,366.38 is: 1,266,904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,711.75 : 825,366.38 = 825,366.38 : x
  2. Step 2: Convert to fraction form
    537,711.75/825,366.38 = 825,366.38/x
  3. Step 3: Cross multiply
    537,711.75x = 825,366.38 × 825,366.38
  4. Step 4: Simplify right side
    537,711.75x = 681,229,652,980.64
  5. Step 5: Solve for x
    x = 681,229,652,980.64/537,711.75
  6. Step 6: Final answer
    x = 1,266,904.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.