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Finding the Third Proportional to 299,727 and 422,128.13

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Solution

The third proportional to 299,727 and 422,128.13 is: 594,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,727 : 422,128.13 = 422,128.13 : x
  2. Step 2: Convert to fraction form
    299,727/422,128.13 = 422,128.13/x
  3. Step 3: Cross multiply
    299,727x = 422,128.13 × 422,128.13
  4. Step 4: Simplify right side
    299,727x = 178,192,153,916.02
  5. Step 5: Solve for x
    x = 178,192,153,916.02/299,727
  6. Step 6: Final answer
    x = 594,514.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.