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Finding the Third Proportional to 662,150.25 and 1,025,078.63

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Solution

The third proportional to 662,150.25 and 1,025,078.63 is: 1,586,930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,150.25 : 1,025,078.63 = 1,025,078.63 : x
  2. Step 2: Convert to fraction form
    662,150.25/1,025,078.63 = 1,025,078.63/x
  3. Step 3: Cross multiply
    662,150.25x = 1,025,078.63 × 1,025,078.63
  4. Step 4: Simplify right side
    662,150.25x = 1,050,786,187,431.89
  5. Step 5: Solve for x
    x = 1,050,786,187,431.89/662,150.25
  6. Step 6: Final answer
    x = 1,586,930.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.