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Finding the Third Proportional to 360,567 and 769,394

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Solution

The third proportional to 360,567 and 769,394 is: 1,641,767.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,567 : 769,394 = 769,394 : x
  2. Step 2: Convert to fraction form
    360,567/769,394 = 769,394/x
  3. Step 3: Cross multiply
    360,567x = 769,394 × 769,394
  4. Step 4: Simplify right side
    360,567x = 591,967,127,236
  5. Step 5: Solve for x
    x = 591,967,127,236/360,567
  6. Step 6: Final answer
    x = 1,641,767.35

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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.