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Finding the Third Proportional to 299,398.50 and 464,865.75

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Solution

The third proportional to 299,398.50 and 464,865.75 is: 721,781.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,398.50 : 464,865.75 = 464,865.75 : x
  2. Step 2: Convert to fraction form
    299,398.50/464,865.75 = 464,865.75/x
  3. Step 3: Cross multiply
    299,398.50x = 464,865.75 × 464,865.75
  4. Step 4: Simplify right side
    299,398.50x = 216,100,165,523.06
  5. Step 5: Solve for x
    x = 216,100,165,523.06/299,398.50
  6. Step 6: Final answer
    x = 721,781.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.