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Finding the Third Proportional to 543,834 and 764,478

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Solution

The third proportional to 543,834 and 764,478 is: 1,074,641.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,834 : 764,478 = 764,478 : x
  2. Step 2: Convert to fraction form
    543,834/764,478 = 764,478/x
  3. Step 3: Cross multiply
    543,834x = 764,478 × 764,478
  4. Step 4: Simplify right side
    543,834x = 584,426,612,484
  5. Step 5: Solve for x
    x = 584,426,612,484/543,834
  6. Step 6: Final answer
    x = 1,074,641.55

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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.