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Finding the Third Proportional to 400,422 and 539,343

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Solution

The third proportional to 400,422 and 539,343 is: 726,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,422 : 539,343 = 539,343 : x
  2. Step 2: Convert to fraction form
    400,422/539,343 = 539,343/x
  3. Step 3: Cross multiply
    400,422x = 539,343 × 539,343
  4. Step 4: Simplify right side
    400,422x = 290,890,871,649
  5. Step 5: Solve for x
    x = 290,890,871,649/400,422
  6. Step 6: Final answer
    x = 726,460.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.