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Finding the Third Proportional to 361,708 and 785,684

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Solution

The third proportional to 361,708 and 785,684 is: 1,706,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,708 : 785,684 = 785,684 : x
  2. Step 2: Convert to fraction form
    361,708/785,684 = 785,684/x
  3. Step 3: Cross multiply
    361,708x = 785,684 × 785,684
  4. Step 4: Simplify right side
    361,708x = 617,299,347,856
  5. Step 5: Solve for x
    x = 617,299,347,856/361,708
  6. Step 6: Final answer
    x = 1,706,623.43

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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.