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Finding the Third Proportional to 271,016 and 402,594

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Solution

The third proportional to 271,016 and 402,594 is: 598,052.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,016 : 402,594 = 402,594 : x
  2. Step 2: Convert to fraction form
    271,016/402,594 = 402,594/x
  3. Step 3: Cross multiply
    271,016x = 402,594 × 402,594
  4. Step 4: Simplify right side
    271,016x = 162,081,928,836
  5. Step 5: Solve for x
    x = 162,081,928,836/271,016
  6. Step 6: Final answer
    x = 598,052.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.