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Finding the Third Proportional to 665,132.77 and 1,014,306.68

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Solution

The third proportional to 665,132.77 and 1,014,306.68 is: 1,546,785.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,132.77 : 1,014,306.68 = 1,014,306.68 : x
  2. Step 2: Convert to fraction form
    665,132.77/1,014,306.68 = 1,014,306.68/x
  3. Step 3: Cross multiply
    665,132.77x = 1,014,306.68 × 1,014,306.68
  4. Step 4: Simplify right side
    665,132.77x = 1,028,818,040,458.68
  5. Step 5: Solve for x
    x = 1,028,818,040,458.68/665,132.77
  6. Step 6: Final answer
    x = 1,546,785.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.