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Finding the Third Proportional to 361,701 and 785,672

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Solution

The third proportional to 361,701 and 785,672 is: 1,706,604.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,701 : 785,672 = 785,672 : x
  2. Step 2: Convert to fraction form
    361,701/785,672 = 785,672/x
  3. Step 3: Cross multiply
    361,701x = 785,672 × 785,672
  4. Step 4: Simplify right side
    361,701x = 617,280,491,584
  5. Step 5: Solve for x
    x = 617,280,491,584/361,701
  6. Step 6: Final answer
    x = 1,706,604.33

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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.