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Finding the Third Proportional to 296,118.75 and 422,029.13

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Solution

The third proportional to 296,118.75 and 422,029.13 is: 601,476.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,118.75 : 422,029.13 = 422,029.13 : x
  2. Step 2: Convert to fraction form
    296,118.75/422,029.13 = 422,029.13/x
  3. Step 3: Cross multiply
    296,118.75x = 422,029.13 × 422,029.13
  4. Step 4: Simplify right side
    296,118.75x = 178,108,582,348.27
  5. Step 5: Solve for x
    x = 178,108,582,348.27/296,118.75
  6. Step 6: Final answer
    x = 601,476.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.