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Finding the Third Proportional to 476,120 and 737,832

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Solution

The third proportional to 476,120 and 737,832 is: 1,143,400.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,120 : 737,832 = 737,832 : x
  2. Step 2: Convert to fraction form
    476,120/737,832 = 737,832/x
  3. Step 3: Cross multiply
    476,120x = 737,832 × 737,832
  4. Step 4: Simplify right side
    476,120x = 544,396,060,224
  5. Step 5: Solve for x
    x = 544,396,060,224/476,120
  6. Step 6: Final answer
    x = 1,143,400.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.