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Finding the Third Proportional to 384,957.88 and 794,306.75

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Solution

The third proportional to 384,957.88 and 794,306.75 is: 1,638,940.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,957.88 : 794,306.75 = 794,306.75 : x
  2. Step 2: Convert to fraction form
    384,957.88/794,306.75 = 794,306.75/x
  3. Step 3: Cross multiply
    384,957.88x = 794,306.75 × 794,306.75
  4. Step 4: Simplify right side
    384,957.88x = 630,923,213,095.56
  5. Step 5: Solve for x
    x = 630,923,213,095.56/384,957.88
  6. Step 6: Final answer
    x = 1,638,940.92

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.