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Finding the Third Proportional to 228,192 and 472,368

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Solution

The third proportional to 228,192 and 472,368 is: 977,823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,192 : 472,368 = 472,368 : x
  2. Step 2: Convert to fraction form
    228,192/472,368 = 472,368/x
  3. Step 3: Cross multiply
    228,192x = 472,368 × 472,368
  4. Step 4: Simplify right side
    228,192x = 223,131,527,424
  5. Step 5: Solve for x
    x = 223,131,527,424/228,192
  6. Step 6: Final answer
    x = 977,823.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.