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Finding the Third Proportional to 299,700 and 444,993.75

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Solution

The third proportional to 299,700 and 444,993.75 is: 660,725.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,700 : 444,993.75 = 444,993.75 : x
  2. Step 2: Convert to fraction form
    299,700/444,993.75 = 444,993.75/x
  3. Step 3: Cross multiply
    299,700x = 444,993.75 × 444,993.75
  4. Step 4: Simplify right side
    299,700x = 198,019,437,539.06
  5. Step 5: Solve for x
    x = 198,019,437,539.06/299,700
  6. Step 6: Final answer
    x = 660,725.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.