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Finding the Third Proportional to 543,917 and 764,602

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Solution

The third proportional to 543,917 and 764,602 is: 1,074,826.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,917 : 764,602 = 764,602 : x
  2. Step 2: Convert to fraction form
    543,917/764,602 = 764,602/x
  3. Step 3: Cross multiply
    543,917x = 764,602 × 764,602
  4. Step 4: Simplify right side
    543,917x = 584,616,218,404
  5. Step 5: Solve for x
    x = 584,616,218,404/543,917
  6. Step 6: Final answer
    x = 1,074,826.16

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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.