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Finding the Third Proportional to 362,782 and 787,704

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Solution

The third proportional to 362,782 and 787,704 is: 1,710,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,782 : 787,704 = 787,704 : x
  2. Step 2: Convert to fraction form
    362,782/787,704 = 787,704/x
  3. Step 3: Cross multiply
    362,782x = 787,704 × 787,704
  4. Step 4: Simplify right side
    362,782x = 620,477,591,616
  5. Step 5: Solve for x
    x = 620,477,591,616/362,782
  6. Step 6: Final answer
    x = 1,710,331.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.