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Finding the Third Proportional to 543,838 and 764,484

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Solution

The third proportional to 543,838 and 764,484 is: 1,074,650.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,838 : 764,484 = 764,484 : x
  2. Step 2: Convert to fraction form
    543,838/764,484 = 764,484/x
  3. Step 3: Cross multiply
    543,838x = 764,484 × 764,484
  4. Step 4: Simplify right side
    543,838x = 584,435,786,256
  5. Step 5: Solve for x
    x = 584,435,786,256/543,838
  6. Step 6: Final answer
    x = 1,074,650.51

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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.