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Finding the Third Proportional to 450,562 and 608,183

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Solution

The third proportional to 450,562 and 608,183 is: 820,944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,562 : 608,183 = 608,183 : x
  2. Step 2: Convert to fraction form
    450,562/608,183 = 608,183/x
  3. Step 3: Cross multiply
    450,562x = 608,183 × 608,183
  4. Step 4: Simplify right side
    450,562x = 369,886,561,489
  5. Step 5: Solve for x
    x = 369,886,561,489/450,562
  6. Step 6: Final answer
    x = 820,944.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.