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Finding the Third Proportional to 543,918 and 764,604

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Solution

The third proportional to 543,918 and 764,604 is: 1,074,829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,918 : 764,604 = 764,604 : x
  2. Step 2: Convert to fraction form
    543,918/764,604 = 764,604/x
  3. Step 3: Cross multiply
    543,918x = 764,604 × 764,604
  4. Step 4: Simplify right side
    543,918x = 584,619,276,816
  5. Step 5: Solve for x
    x = 584,619,276,816/543,918
  6. Step 6: Final answer
    x = 1,074,829.80

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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.