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Finding the Third Proportional to 540,825.75 and 840,737.25

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Solution

The third proportional to 540,825.75 and 840,737.25 is: 1,306,962.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,825.75 : 840,737.25 = 840,737.25 : x
  2. Step 2: Convert to fraction form
    540,825.75/840,737.25 = 840,737.25/x
  3. Step 3: Cross multiply
    540,825.75x = 840,737.25 × 840,737.25
  4. Step 4: Simplify right side
    540,825.75x = 706,839,123,537.56
  5. Step 5: Solve for x
    x = 706,839,123,537.56/540,825.75
  6. Step 6: Final answer
    x = 1,306,962.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.