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Finding the Third Proportional to 543,347,338.50 and 847,305,960.75

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Solution

The third proportional to 543,347,338.50 and 847,305,960.75 is: 1,321,304,698.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,347,338.50 : 847,305,960.75 = 847,305,960.75 : x
  2. Step 2: Convert to fraction form
    543,347,338.50/847,305,960.75 = 847,305,960.75/x
  3. Step 3: Cross multiply
    543,347,338.50x = 847,305,960.75 × 847,305,960.75
  4. Step 4: Simplify right side
    543,347,338.50x = 717,927,391,122,480,512
  5. Step 5: Solve for x
    x = 717,927,391,122,480,512/543,347,338.50
  6. Step 6: Final answer
    x = 1,321,304,698.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.