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Finding the Third Proportional to 659,601 and 991,039.50

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Solution

The third proportional to 659,601 and 991,039.50 is: 1,489,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,601 : 991,039.50 = 991,039.50 : x
  2. Step 2: Convert to fraction form
    659,601/991,039.50 = 991,039.50/x
  3. Step 3: Cross multiply
    659,601x = 991,039.50 × 991,039.50
  4. Step 4: Simplify right side
    659,601x = 982,159,290,560.25
  5. Step 5: Solve for x
    x = 982,159,290,560.25/659,601
  6. Step 6: Final answer
    x = 1,489,020.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.