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Finding the Third Proportional to 361,019.53 and 773,274.09

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Solution

The third proportional to 361,019.53 and 773,274.09 is: 1,656,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,019.53 : 773,274.09 = 773,274.09 : x
  2. Step 2: Convert to fraction form
    361,019.53/773,274.09 = 773,274.09/x
  3. Step 3: Cross multiply
    361,019.53x = 773,274.09 × 773,274.09
  4. Step 4: Simplify right side
    361,019.53x = 597,952,824,064.88
  5. Step 5: Solve for x
    x = 597,952,824,064.88/361,019.53
  6. Step 6: Final answer
    x = 1,656,289.40

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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.