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Finding the Third Proportional to 216,668 and 483,124

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Solution

The third proportional to 216,668 and 483,124 is: 1,077,264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,668 : 483,124 = 483,124 : x
  2. Step 2: Convert to fraction form
    216,668/483,124 = 483,124/x
  3. Step 3: Cross multiply
    216,668x = 483,124 × 483,124
  4. Step 4: Simplify right side
    216,668x = 233,408,799,376
  5. Step 5: Solve for x
    x = 233,408,799,376/216,668
  6. Step 6: Final answer
    x = 1,077,264.75

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.