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Finding the Third Proportional to 216,591 and 334,724

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Solution

The third proportional to 216,591 and 334,724 is: 517,289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,591 : 334,724 = 334,724 : x
  2. Step 2: Convert to fraction form
    216,591/334,724 = 334,724/x
  3. Step 3: Cross multiply
    216,591x = 334,724 × 334,724
  4. Step 4: Simplify right side
    216,591x = 112,040,156,176
  5. Step 5: Solve for x
    x = 112,040,156,176/216,591
  6. Step 6: Final answer
    x = 517,289.07

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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.