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Finding the Third Proportional to 363,049.88 and 787,334.63

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Solution

The third proportional to 363,049.88 and 787,334.63 is: 1,707,467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,049.88 : 787,334.63 = 787,334.63 : x
  2. Step 2: Convert to fraction form
    363,049.88/787,334.63 = 787,334.63/x
  3. Step 3: Cross multiply
    363,049.88x = 787,334.63 × 787,334.63
  4. Step 4: Simplify right side
    363,049.88x = 619,895,811,723.89
  5. Step 5: Solve for x
    x = 619,895,811,723.89/363,049.88
  6. Step 6: Final answer
    x = 1,707,467.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.