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Finding the Third Proportional to 294,199 and 454,601

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Solution

The third proportional to 294,199 and 454,601 is: 702,456.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,199 : 454,601 = 454,601 : x
  2. Step 2: Convert to fraction form
    294,199/454,601 = 454,601/x
  3. Step 3: Cross multiply
    294,199x = 454,601 × 454,601
  4. Step 4: Simplify right side
    294,199x = 206,662,069,201
  5. Step 5: Solve for x
    x = 206,662,069,201/294,199
  6. Step 6: Final answer
    x = 702,456.74

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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.