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Finding the Third Proportional to 224,169 and 483,758

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Solution

The third proportional to 224,169 and 483,758 is: 1,043,952.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,169 : 483,758 = 483,758 : x
  2. Step 2: Convert to fraction form
    224,169/483,758 = 483,758/x
  3. Step 3: Cross multiply
    224,169x = 483,758 × 483,758
  4. Step 4: Simplify right side
    224,169x = 234,021,802,564
  5. Step 5: Solve for x
    x = 234,021,802,564/224,169
  6. Step 6: Final answer
    x = 1,043,952.57

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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.