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Finding the Third Proportional to 199,856 and 428,048

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Solution

The third proportional to 199,856 and 428,048 is: 916,785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,856 : 428,048 = 428,048 : x
  2. Step 2: Convert to fraction form
    199,856/428,048 = 428,048/x
  3. Step 3: Cross multiply
    199,856x = 428,048 × 428,048
  4. Step 4: Simplify right side
    199,856x = 183,225,090,304
  5. Step 5: Solve for x
    x = 183,225,090,304/199,856
  6. Step 6: Final answer
    x = 916,785.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.