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Finding the Third Proportional to 659,574 and 991,003.50

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Solution

The third proportional to 659,574 and 991,003.50 is: 1,488,973.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,574 : 991,003.50 = 991,003.50 : x
  2. Step 2: Convert to fraction form
    659,574/991,003.50 = 991,003.50/x
  3. Step 3: Cross multiply
    659,574x = 991,003.50 × 991,003.50
  4. Step 4: Simplify right side
    659,574x = 982,087,937,012.25
  5. Step 5: Solve for x
    x = 982,087,937,012.25/659,574
  6. Step 6: Final answer
    x = 1,488,973.09

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