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Finding the Third Proportional to 185,472 and 400,512

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Solution

The third proportional to 185,472 and 400,512 is: 864,873.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,472 : 400,512 = 400,512 : x
  2. Step 2: Convert to fraction form
    185,472/400,512 = 400,512/x
  3. Step 3: Cross multiply
    185,472x = 400,512 × 400,512
  4. Step 4: Simplify right side
    185,472x = 160,409,862,144
  5. Step 5: Solve for x
    x = 160,409,862,144/185,472
  6. Step 6: Final answer
    x = 864,873.74

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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.