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Finding the Third Proportional to 543,924 and 764,613

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Solution

The third proportional to 543,924 and 764,613 is: 1,074,843.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,924 : 764,613 = 764,613 : x
  2. Step 2: Convert to fraction form
    543,924/764,613 = 764,613/x
  3. Step 3: Cross multiply
    543,924x = 764,613 × 764,613
  4. Step 4: Simplify right side
    543,924x = 584,633,039,769
  5. Step 5: Solve for x
    x = 584,633,039,769/543,924
  6. Step 6: Final answer
    x = 1,074,843.25

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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.