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Finding the Third Proportional to 219,168 and 466,578

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Solution

The third proportional to 219,168 and 466,578 is: 993,279.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,168 : 466,578 = 466,578 : x
  2. Step 2: Convert to fraction form
    219,168/466,578 = 466,578/x
  3. Step 3: Cross multiply
    219,168x = 466,578 × 466,578
  4. Step 4: Simplify right side
    219,168x = 217,695,030,084
  5. Step 5: Solve for x
    x = 217,695,030,084/219,168
  6. Step 6: Final answer
    x = 993,279.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.