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Finding the Third Proportional to 299,328 and 464,732.25

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Solution

The third proportional to 299,328 and 464,732.25 is: 721,536.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,328 : 464,732.25 = 464,732.25 : x
  2. Step 2: Convert to fraction form
    299,328/464,732.25 = 464,732.25/x
  3. Step 3: Cross multiply
    299,328x = 464,732.25 × 464,732.25
  4. Step 4: Simplify right side
    299,328x = 215,976,064,190.06
  5. Step 5: Solve for x
    x = 215,976,064,190.06/299,328
  6. Step 6: Final answer
    x = 721,536.46

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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.