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Finding the Third Proportional to 360,482 and 743,812

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Solution

The third proportional to 360,482 and 743,812 is: 1,534,768.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,482 : 743,812 = 743,812 : x
  2. Step 2: Convert to fraction form
    360,482/743,812 = 743,812/x
  3. Step 3: Cross multiply
    360,482x = 743,812 × 743,812
  4. Step 4: Simplify right side
    360,482x = 553,256,291,344
  5. Step 5: Solve for x
    x = 553,256,291,344/360,482
  6. Step 6: Final answer
    x = 1,534,768.15

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.