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Finding the Third Proportional to 361,015.13 and 773,265.75

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Solution

The third proportional to 361,015.13 and 773,265.75 is: 1,656,273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,015.13 : 773,265.75 = 773,265.75 : x
  2. Step 2: Convert to fraction form
    361,015.13/773,265.75 = 773,265.75/x
  3. Step 3: Cross multiply
    361,015.13x = 773,265.75 × 773,265.75
  4. Step 4: Simplify right side
    361,015.13x = 597,939,920,123.06
  5. Step 5: Solve for x
    x = 597,939,920,123.06/361,015.13
  6. Step 6: Final answer
    x = 1,656,273.88

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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.