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Finding the Third Proportional to 537,414.75 and 763,900.88

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Solution

The third proportional to 537,414.75 and 763,900.88 is: 1,085,836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,414.75 : 763,900.88 = 763,900.88 : x
  2. Step 2: Convert to fraction form
    537,414.75/763,900.88 = 763,900.88/x
  3. Step 3: Cross multiply
    537,414.75x = 763,900.88 × 763,900.88
  4. Step 4: Simplify right side
    537,414.75x = 583,544,546,825.77
  5. Step 5: Solve for x
    x = 583,544,546,825.77/537,414.75
  6. Step 6: Final answer
    x = 1,085,836.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.