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Finding the Third Proportional to 395,662 and 838,412

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Solution

The third proportional to 395,662 and 838,412 is: 1,776,603.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,662 : 838,412 = 838,412 : x
  2. Step 2: Convert to fraction form
    395,662/838,412 = 838,412/x
  3. Step 3: Cross multiply
    395,662x = 838,412 × 838,412
  4. Step 4: Simplify right side
    395,662x = 702,934,681,744
  5. Step 5: Solve for x
    x = 702,934,681,744/395,662
  6. Step 6: Final answer
    x = 1,776,603.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.