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Finding the Third Proportional to 416,737.13 and 645,697.69

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Solution

The third proportional to 416,737.13 and 645,697.69 is: 1,000,452.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,737.13 : 645,697.69 = 645,697.69 : x
  2. Step 2: Convert to fraction form
    416,737.13/645,697.69 = 645,697.69/x
  3. Step 3: Cross multiply
    416,737.13x = 645,697.69 × 645,697.69
  4. Step 4: Simplify right side
    416,737.13x = 416,925,503,642.85
  5. Step 5: Solve for x
    x = 416,925,503,642.85/416,737.13
  6. Step 6: Final answer
    x = 1,000,452.03

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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.