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Finding the Third Proportional to 541,931 and 762,483

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Solution

The third proportional to 541,931 and 762,483 is: 1,072,794.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,931 : 762,483 = 762,483 : x
  2. Step 2: Convert to fraction form
    541,931/762,483 = 762,483/x
  3. Step 3: Cross multiply
    541,931x = 762,483 × 762,483
  4. Step 4: Simplify right side
    541,931x = 581,380,325,289
  5. Step 5: Solve for x
    x = 581,380,325,289/541,931
  6. Step 6: Final answer
    x = 1,072,794.00

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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.