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Finding the Third Proportional to 322,649 and 501,231

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Solution

The third proportional to 322,649 and 501,231 is: 778,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,649 : 501,231 = 501,231 : x
  2. Step 2: Convert to fraction form
    322,649/501,231 = 501,231/x
  3. Step 3: Cross multiply
    322,649x = 501,231 × 501,231
  4. Step 4: Simplify right side
    322,649x = 251,232,515,361
  5. Step 5: Solve for x
    x = 251,232,515,361/322,649
  6. Step 6: Final answer
    x = 778,655.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.