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Finding the Third Proportional to 360,593 and 769,453

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Solution

The third proportional to 360,593 and 769,453 is: 1,641,900.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,593 : 769,453 = 769,453 : x
  2. Step 2: Convert to fraction form
    360,593/769,453 = 769,453/x
  3. Step 3: Cross multiply
    360,593x = 769,453 × 769,453
  4. Step 4: Simplify right side
    360,593x = 592,057,919,209
  5. Step 5: Solve for x
    x = 592,057,919,209/360,593
  6. Step 6: Final answer
    x = 1,641,900.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.