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Finding the Third Proportional to 361,020.75 and 773,277

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Solution

The third proportional to 361,020.75 and 773,277 is: 1,656,296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,020.75 : 773,277 = 773,277 : x
  2. Step 2: Convert to fraction form
    361,020.75/773,277 = 773,277/x
  3. Step 3: Cross multiply
    361,020.75x = 773,277 × 773,277
  4. Step 4: Simplify right side
    361,020.75x = 597,957,318,729
  5. Step 5: Solve for x
    x = 597,957,318,729/361,020.75
  6. Step 6: Final answer
    x = 1,656,296.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.