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Finding the Third Proportional to 294,193 and 454,602

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Solution

The third proportional to 294,193 and 454,602 is: 702,474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,193 : 454,602 = 454,602 : x
  2. Step 2: Convert to fraction form
    294,193/454,602 = 454,602/x
  3. Step 3: Cross multiply
    294,193x = 454,602 × 454,602
  4. Step 4: Simplify right side
    294,193x = 206,662,978,404
  5. Step 5: Solve for x
    x = 206,662,978,404/294,193
  6. Step 6: Final answer
    x = 702,474.15

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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.