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Finding the Third Proportional to 216,554 and 333,288

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Solution

The third proportional to 216,554 and 333,288 is: 512,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,554 : 333,288 = 333,288 : x
  2. Step 2: Convert to fraction form
    216,554/333,288 = 333,288/x
  3. Step 3: Cross multiply
    216,554x = 333,288 × 333,288
  4. Step 4: Simplify right side
    216,554x = 111,080,890,944
  5. Step 5: Solve for x
    x = 111,080,890,944/216,554
  6. Step 6: Final answer
    x = 512,947.77

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.