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Finding the Third Proportional to 295,585.88 and 650,220.75

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Solution

The third proportional to 295,585.88 and 650,220.75 is: 1,430,335.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,585.88 : 650,220.75 = 650,220.75 : x
  2. Step 2: Convert to fraction form
    295,585.88/650,220.75 = 650,220.75/x
  3. Step 3: Cross multiply
    295,585.88x = 650,220.75 × 650,220.75
  4. Step 4: Simplify right side
    295,585.88x = 422,787,023,730.56
  5. Step 5: Solve for x
    x = 422,787,023,730.56/295,585.88
  6. Step 6: Final answer
    x = 1,430,335.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.