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Finding the Third Proportional to 282,754.50 and 598,233

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Solution

The third proportional to 282,754.50 and 598,233 is: 1,265,701.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,754.50 : 598,233 = 598,233 : x
  2. Step 2: Convert to fraction form
    282,754.50/598,233 = 598,233/x
  3. Step 3: Cross multiply
    282,754.50x = 598,233 × 598,233
  4. Step 4: Simplify right side
    282,754.50x = 357,882,722,289
  5. Step 5: Solve for x
    x = 357,882,722,289/282,754.50
  6. Step 6: Final answer
    x = 1,265,701.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.