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Finding the Third Proportional to 372,357 and 797,202

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Solution

The third proportional to 372,357 and 797,202 is: 1,706,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,357 : 797,202 = 797,202 : x
  2. Step 2: Convert to fraction form
    372,357/797,202 = 797,202/x
  3. Step 3: Cross multiply
    372,357x = 797,202 × 797,202
  4. Step 4: Simplify right side
    372,357x = 635,531,028,804
  5. Step 5: Solve for x
    x = 635,531,028,804/372,357
  6. Step 6: Final answer
    x = 1,706,778.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.