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Finding the Third Proportional to 465,563 and 743,849

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Solution

The third proportional to 465,563 and 743,849 is: 1,188,477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,563 : 743,849 = 743,849 : x
  2. Step 2: Convert to fraction form
    465,563/743,849 = 743,849/x
  3. Step 3: Cross multiply
    465,563x = 743,849 × 743,849
  4. Step 4: Simplify right side
    465,563x = 553,311,334,801
  5. Step 5: Solve for x
    x = 553,311,334,801/465,563
  6. Step 6: Final answer
    x = 1,188,477.90

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.