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Finding the Third Proportional to 365,656 and 815,336

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Solution

The third proportional to 365,656 and 815,336 is: 1,818,027.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,656 : 815,336 = 815,336 : x
  2. Step 2: Convert to fraction form
    365,656/815,336 = 815,336/x
  3. Step 3: Cross multiply
    365,656x = 815,336 × 815,336
  4. Step 4: Simplify right side
    365,656x = 664,772,792,896
  5. Step 5: Solve for x
    x = 664,772,792,896/365,656
  6. Step 6: Final answer
    x = 1,818,027.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.