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Finding the Third Proportional to 536,451.75 and 810,145.13

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Solution

The third proportional to 536,451.75 and 810,145.13 is: 1,223,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,451.75 : 810,145.13 = 810,145.13 : x
  2. Step 2: Convert to fraction form
    536,451.75/810,145.13 = 810,145.13/x
  3. Step 3: Cross multiply
    536,451.75x = 810,145.13 × 810,145.13
  4. Step 4: Simplify right side
    536,451.75x = 656,335,123,561.27
  5. Step 5: Solve for x
    x = 656,335,123,561.27/536,451.75
  6. Step 6: Final answer
    x = 1,223,474.66

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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.