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Finding the Third Proportional to 361,692 and 785,654

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Solution

The third proportional to 361,692 and 785,654 is: 1,706,568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,692 : 785,654 = 785,654 : x
  2. Step 2: Convert to fraction form
    361,692/785,654 = 785,654/x
  3. Step 3: Cross multiply
    361,692x = 785,654 × 785,654
  4. Step 4: Simplify right side
    361,692x = 617,252,207,716
  5. Step 5: Solve for x
    x = 617,252,207,716/361,692
  6. Step 6: Final answer
    x = 1,706,568.59

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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.