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Finding the Third Proportional to 361,695 and 785,660

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Solution

The third proportional to 361,695 and 785,660 is: 1,706,580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,695 : 785,660 = 785,660 : x
  2. Step 2: Convert to fraction form
    361,695/785,660 = 785,660/x
  3. Step 3: Cross multiply
    361,695x = 785,660 × 785,660
  4. Step 4: Simplify right side
    361,695x = 617,261,635,600
  5. Step 5: Solve for x
    x = 617,261,635,600/361,695
  6. Step 6: Final answer
    x = 1,706,580.50

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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.