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Finding the Third Proportional to 327,179.25 and 715,252.50

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Solution

The third proportional to 327,179.25 and 715,252.50 is: 1,563,626.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,179.25 : 715,252.50 = 715,252.50 : x
  2. Step 2: Convert to fraction form
    327,179.25/715,252.50 = 715,252.50/x
  3. Step 3: Cross multiply
    327,179.25x = 715,252.50 × 715,252.50
  4. Step 4: Simplify right side
    327,179.25x = 511,586,138,756.25
  5. Step 5: Solve for x
    x = 511,586,138,756.25/327,179.25
  6. Step 6: Final answer
    x = 1,563,626.48

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Why These Related Problems?

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