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Finding the Third Proportional to 216,972 and 324,300

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Solution

The third proportional to 216,972 and 324,300 is: 484,719.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,972 : 324,300 = 324,300 : x
  2. Step 2: Convert to fraction form
    216,972/324,300 = 324,300/x
  3. Step 3: Cross multiply
    216,972x = 324,300 × 324,300
  4. Step 4: Simplify right side
    216,972x = 105,170,490,000
  5. Step 5: Solve for x
    x = 105,170,490,000/216,972
  6. Step 6: Final answer
    x = 484,719.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.