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Finding the Third Proportional to 543,996 and 764,712

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Solution

The third proportional to 543,996 and 764,712 is: 1,074,979.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,996 : 764,712 = 764,712 : x
  2. Step 2: Convert to fraction form
    543,996/764,712 = 764,712/x
  3. Step 3: Cross multiply
    543,996x = 764,712 × 764,712
  4. Step 4: Simplify right side
    543,996x = 584,784,442,944
  5. Step 5: Solve for x
    x = 584,784,442,944/543,996
  6. Step 6: Final answer
    x = 1,074,979.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.