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Finding the Third Proportional to 219,273.75 and 472,384.13

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Solution

The third proportional to 219,273.75 and 472,384.13 is: 1,017,662.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,273.75 : 472,384.13 = 472,384.13 : x
  2. Step 2: Convert to fraction form
    219,273.75/472,384.13 = 472,384.13/x
  3. Step 3: Cross multiply
    219,273.75x = 472,384.13 × 472,384.13
  4. Step 4: Simplify right side
    219,273.75x = 223,146,761,552.02
  5. Step 5: Solve for x
    x = 223,146,761,552.02/219,273.75
  6. Step 6: Final answer
    x = 1,017,662.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.