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Finding the Third Proportional to 282,024 and 619,857

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Solution

The third proportional to 282,024 and 619,857 is: 1,362,375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,024 : 619,857 = 619,857 : x
  2. Step 2: Convert to fraction form
    282,024/619,857 = 619,857/x
  3. Step 3: Cross multiply
    282,024x = 619,857 × 619,857
  4. Step 4: Simplify right side
    282,024x = 384,222,700,449
  5. Step 5: Solve for x
    x = 384,222,700,449/282,024
  6. Step 6: Final answer
    x = 1,362,375.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.