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Finding the Third Proportional to 295,810.31 and 647,593.31

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Solution

The third proportional to 295,810.31 and 647,593.31 is: 1,417,723.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,810.31 : 647,593.31 = 647,593.31 : x
  2. Step 2: Convert to fraction form
    295,810.31/647,593.31 = 647,593.31/x
  3. Step 3: Cross multiply
    295,810.31x = 647,593.31 × 647,593.31
  4. Step 4: Simplify right side
    295,810.31x = 419,377,098,394.72
  5. Step 5: Solve for x
    x = 419,377,098,394.72/295,810.31
  6. Step 6: Final answer
    x = 1,417,723.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.