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Finding the Third Proportional to 216,580 and 324,870

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Solution

The third proportional to 216,580 and 324,870 is: 487,305

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,580 : 324,870 = 324,870 : x
  2. Step 2: Convert to fraction form
    216,580/324,870 = 324,870/x
  3. Step 3: Cross multiply
    216,580x = 324,870 × 324,870
  4. Step 4: Simplify right side
    216,580x = 105,540,516,900
  5. Step 5: Solve for x
    x = 105,540,516,900/216,580
  6. Step 6: Final answer
    x = 487,305

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.