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Finding the Third Proportional to 537,414.75 and 812,170.13

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Solution

The third proportional to 537,414.75 and 812,170.13 is: 1,227,395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,414.75 : 812,170.13 = 812,170.13 : x
  2. Step 2: Convert to fraction form
    537,414.75/812,170.13 = 812,170.13/x
  3. Step 3: Cross multiply
    537,414.75x = 812,170.13 × 812,170.13
  4. Step 4: Simplify right side
    537,414.75x = 659,620,311,942.52
  5. Step 5: Solve for x
    x = 659,620,311,942.52/537,414.75
  6. Step 6: Final answer
    x = 1,227,395.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.