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Finding the Third Proportional to 327,762.50 and 720,568.50

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Solution

The third proportional to 327,762.50 and 720,568.50 is: 1,584,131.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,762.50 : 720,568.50 = 720,568.50 : x
  2. Step 2: Convert to fraction form
    327,762.50/720,568.50 = 720,568.50/x
  3. Step 3: Cross multiply
    327,762.50x = 720,568.50 × 720,568.50
  4. Step 4: Simplify right side
    327,762.50x = 519,218,963,192.25
  5. Step 5: Solve for x
    x = 519,218,963,192.25/327,762.50
  6. Step 6: Final answer
    x = 1,584,131.69

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Why These Related Problems?

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