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Finding the Third Proportional to 541,938 and 762,495

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Solution

The third proportional to 541,938 and 762,495 is: 1,072,813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,938 : 762,495 = 762,495 : x
  2. Step 2: Convert to fraction form
    541,938/762,495 = 762,495/x
  3. Step 3: Cross multiply
    541,938x = 762,495 × 762,495
  4. Step 4: Simplify right side
    541,938x = 581,398,625,025
  5. Step 5: Solve for x
    x = 581,398,625,025/541,938
  6. Step 6: Final answer
    x = 1,072,813.91

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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.