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Finding the Third Proportional to 322,220 and 497,910

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Solution

The third proportional to 322,220 and 497,910 is: 769,394.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,220 : 497,910 = 497,910 : x
  2. Step 2: Convert to fraction form
    322,220/497,910 = 497,910/x
  3. Step 3: Cross multiply
    322,220x = 497,910 × 497,910
  4. Step 4: Simplify right side
    322,220x = 247,914,368,100
  5. Step 5: Solve for x
    x = 247,914,368,100/322,220
  6. Step 6: Final answer
    x = 769,394.72

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