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Finding the Third Proportional to 281,884.50 and 593,280

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Solution

The third proportional to 281,884.50 and 593,280 is: 1,248,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,884.50 : 593,280 = 593,280 : x
  2. Step 2: Convert to fraction form
    281,884.50/593,280 = 593,280/x
  3. Step 3: Cross multiply
    281,884.50x = 593,280 × 593,280
  4. Step 4: Simplify right side
    281,884.50x = 351,981,158,400
  5. Step 5: Solve for x
    x = 351,981,158,400/281,884.50
  6. Step 6: Final answer
    x = 1,248,671.56

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.