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Finding the Third Proportional to 220,320 and 475,668

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Solution

The third proportional to 220,320 and 475,668 is: 1,026,960.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,320 : 475,668 = 475,668 : x
  2. Step 2: Convert to fraction form
    220,320/475,668 = 475,668/x
  3. Step 3: Cross multiply
    220,320x = 475,668 × 475,668
  4. Step 4: Simplify right side
    220,320x = 226,260,046,224
  5. Step 5: Solve for x
    x = 226,260,046,224/220,320
  6. Step 6: Final answer
    x = 1,026,960.99

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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.