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Finding the Third Proportional to 402,950 and 883,400

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Solution

The third proportional to 402,950 and 883,400 is: 1,936,705.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,950 : 883,400 = 883,400 : x
  2. Step 2: Convert to fraction form
    402,950/883,400 = 883,400/x
  3. Step 3: Cross multiply
    402,950x = 883,400 × 883,400
  4. Step 4: Simplify right side
    402,950x = 780,395,560,000
  5. Step 5: Solve for x
    x = 780,395,560,000/402,950
  6. Step 6: Final answer
    x = 1,936,705.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.