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Finding the Third Proportional to 349,899.75 and 764,994.38

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Solution

The third proportional to 349,899.75 and 764,994.38 is: 1,672,525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,899.75 : 764,994.38 = 764,994.38 : x
  2. Step 2: Convert to fraction form
    349,899.75/764,994.38 = 764,994.38/x
  3. Step 3: Cross multiply
    349,899.75x = 764,994.38 × 764,994.38
  4. Step 4: Simplify right side
    349,899.75x = 585,216,393,781.64
  5. Step 5: Solve for x
    x = 585,216,393,781.64/349,899.75
  6. Step 6: Final answer
    x = 1,672,525.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.