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Finding the Third Proportional to 217,233 and 322,462.50

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Solution

The third proportional to 217,233 and 322,462.50 is: 478,666.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,233 : 322,462.50 = 322,462.50 : x
  2. Step 2: Convert to fraction form
    217,233/322,462.50 = 322,462.50/x
  3. Step 3: Cross multiply
    217,233x = 322,462.50 × 322,462.50
  4. Step 4: Simplify right side
    217,233x = 103,982,063,906.25
  5. Step 5: Solve for x
    x = 103,982,063,906.25/217,233
  6. Step 6: Final answer
    x = 478,666.06

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.