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Finding the Third Proportional to 224,167 and 483,754

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Solution

The third proportional to 224,167 and 483,754 is: 1,043,944.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,167 : 483,754 = 483,754 : x
  2. Step 2: Convert to fraction form
    224,167/483,754 = 483,754/x
  3. Step 3: Cross multiply
    224,167x = 483,754 × 483,754
  4. Step 4: Simplify right side
    224,167x = 234,017,932,516
  5. Step 5: Solve for x
    x = 234,017,932,516/224,167
  6. Step 6: Final answer
    x = 1,043,944.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.