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Finding the Third Proportional to 433,200 and 1,002,792

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Solution

The third proportional to 433,200 and 1,002,792 is: 2,321,310.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,200 : 1,002,792 = 1,002,792 : x
  2. Step 2: Convert to fraction form
    433,200/1,002,792 = 1,002,792/x
  3. Step 3: Cross multiply
    433,200x = 1,002,792 × 1,002,792
  4. Step 4: Simplify right side
    433,200x = 1,005,591,795,264
  5. Step 5: Solve for x
    x = 1,005,591,795,264/433,200
  6. Step 6: Final answer
    x = 2,321,310.70

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.