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Finding the Third Proportional to 416,557.50 and 862,653

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Solution

The third proportional to 416,557.50 and 862,653 is: 1,786,476.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,557.50 : 862,653 = 862,653 : x
  2. Step 2: Convert to fraction form
    416,557.50/862,653 = 862,653/x
  3. Step 3: Cross multiply
    416,557.50x = 862,653 × 862,653
  4. Step 4: Simplify right side
    416,557.50x = 744,170,198,409
  5. Step 5: Solve for x
    x = 744,170,198,409/416,557.50
  6. Step 6: Final answer
    x = 1,786,476.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.