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Finding the Third Proportional to 284,853.38 and 440,926.88

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Solution

The third proportional to 284,853.38 and 440,926.88 is: 682,514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,853.38 : 440,926.88 = 440,926.88 : x
  2. Step 2: Convert to fraction form
    284,853.38/440,926.88 = 440,926.88/x
  3. Step 3: Cross multiply
    284,853.38x = 440,926.88 × 440,926.88
  4. Step 4: Simplify right side
    284,853.38x = 194,416,509,097.27
  5. Step 5: Solve for x
    x = 194,416,509,097.27/284,853.38
  6. Step 6: Final answer
    x = 682,514.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.