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Finding the Third Proportional to 293,938.88 and 454,167

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Solution

The third proportional to 293,938.88 and 454,167 is: 701,736.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,938.88 : 454,167 = 454,167 : x
  2. Step 2: Convert to fraction form
    293,938.88/454,167 = 454,167/x
  3. Step 3: Cross multiply
    293,938.88x = 454,167 × 454,167
  4. Step 4: Simplify right side
    293,938.88x = 206,267,663,889
  5. Step 5: Solve for x
    x = 206,267,663,889/293,938.88
  6. Step 6: Final answer
    x = 701,736.59

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