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Finding the Third Proportional to 602,078.06 and 825,607.69

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Solution

The third proportional to 602,078.06 and 825,607.69 is: 1,132,125.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,078.06 : 825,607.69 = 825,607.69 : x
  2. Step 2: Convert to fraction form
    602,078.06/825,607.69 = 825,607.69/x
  3. Step 3: Cross multiply
    602,078.06x = 825,607.69 × 825,607.69
  4. Step 4: Simplify right side
    602,078.06x = 681,628,053,659.10
  5. Step 5: Solve for x
    x = 681,628,053,659.10/602,078.06
  6. Step 6: Final answer
    x = 1,132,125.71

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.