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Finding the Third Proportional to 393,853.50 and 590,658.75

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Solution

The third proportional to 393,853.50 and 590,658.75 is: 885,805.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,853.50 : 590,658.75 = 590,658.75 : x
  2. Step 2: Convert to fraction form
    393,853.50/590,658.75 = 590,658.75/x
  3. Step 3: Cross multiply
    393,853.50x = 590,658.75 × 590,658.75
  4. Step 4: Simplify right side
    393,853.50x = 348,877,758,951.56
  5. Step 5: Solve for x
    x = 348,877,758,951.56/393,853.50
  6. Step 6: Final answer
    x = 885,805.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.