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Finding the Third Proportional to 419,235.75 and 653,761.13

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Solution

The third proportional to 419,235.75 and 653,761.13 is: 1,019,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,235.75 : 653,761.13 = 653,761.13 : x
  2. Step 2: Convert to fraction form
    419,235.75/653,761.13 = 653,761.13/x
  3. Step 3: Cross multiply
    419,235.75x = 653,761.13 × 653,761.13
  4. Step 4: Simplify right side
    419,235.75x = 427,403,608,561.27
  5. Step 5: Solve for x
    x = 427,403,608,561.27/419,235.75
  6. Step 6: Final answer
    x = 1,019,482.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.