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Finding the Third Proportional to 361,776 and 785,824

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Solution

The third proportional to 361,776 and 785,824 is: 1,706,910.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,776 : 785,824 = 785,824 : x
  2. Step 2: Convert to fraction form
    361,776/785,824 = 785,824/x
  3. Step 3: Cross multiply
    361,776x = 785,824 × 785,824
  4. Step 4: Simplify right side
    361,776x = 617,519,358,976
  5. Step 5: Solve for x
    x = 617,519,358,976/361,776
  6. Step 6: Final answer
    x = 1,706,910.79

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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.