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Finding the Third Proportional to 327,068 and 705,748

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Solution

The third proportional to 327,068 and 705,748 is: 1,522,864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,068 : 705,748 = 705,748 : x
  2. Step 2: Convert to fraction form
    327,068/705,748 = 705,748/x
  3. Step 3: Cross multiply
    327,068x = 705,748 × 705,748
  4. Step 4: Simplify right side
    327,068x = 498,080,239,504
  5. Step 5: Solve for x
    x = 498,080,239,504/327,068
  6. Step 6: Final answer
    x = 1,522,864.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.