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Finding the Third Proportional to 361,716 and 785,704

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Solution

The third proportional to 361,716 and 785,704 is: 1,706,672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,716 : 785,704 = 785,704 : x
  2. Step 2: Convert to fraction form
    361,716/785,704 = 785,704/x
  3. Step 3: Cross multiply
    361,716x = 785,704 × 785,704
  4. Step 4: Simplify right side
    361,716x = 617,330,775,616
  5. Step 5: Solve for x
    x = 617,330,775,616/361,716
  6. Step 6: Final answer
    x = 1,706,672.57

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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.