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Finding the Third Proportional to 330,728.64 and 701,198.07

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Solution

The third proportional to 330,728.64 and 701,198.07 is: 1,486,653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,728.64 : 701,198.07 = 701,198.07 : x
  2. Step 2: Convert to fraction form
    330,728.64/701,198.07 = 701,198.07/x
  3. Step 3: Cross multiply
    330,728.64x = 701,198.07 × 701,198.07
  4. Step 4: Simplify right side
    330,728.64x = 491,678,731,070.95
  5. Step 5: Solve for x
    x = 491,678,731,070.95/330,728.64
  6. Step 6: Final answer
    x = 1,486,653.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.