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Finding the Third Proportional to 372,110 and 815,144

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Solution

The third proportional to 372,110 and 815,144 is: 1,785,654.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,110 : 815,144 = 815,144 : x
  2. Step 2: Convert to fraction form
    372,110/815,144 = 815,144/x
  3. Step 3: Cross multiply
    372,110x = 815,144 × 815,144
  4. Step 4: Simplify right side
    372,110x = 664,459,740,736
  5. Step 5: Solve for x
    x = 664,459,740,736/372,110
  6. Step 6: Final answer
    x = 1,785,654.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.