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Finding the Third Proportional to 327,888 and 717,552

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Solution

The third proportional to 327,888 and 717,552 is: 1,570,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,888 : 717,552 = 717,552 : x
  2. Step 2: Convert to fraction form
    327,888/717,552 = 717,552/x
  3. Step 3: Cross multiply
    327,888x = 717,552 × 717,552
  4. Step 4: Simplify right side
    327,888x = 514,880,872,704
  5. Step 5: Solve for x
    x = 514,880,872,704/327,888
  6. Step 6: Final answer
    x = 1,570,294.96

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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.