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Finding the Third Proportional to 282,956 and 608,049

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Solution

The third proportional to 282,956 and 608,049 is: 1,306,646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,956 : 608,049 = 608,049 : x
  2. Step 2: Convert to fraction form
    282,956/608,049 = 608,049/x
  3. Step 3: Cross multiply
    282,956x = 608,049 × 608,049
  4. Step 4: Simplify right side
    282,956x = 369,723,586,401
  5. Step 5: Solve for x
    x = 369,723,586,401/282,956
  6. Step 6: Final answer
    x = 1,306,646.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.