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Finding the Third Proportional to 450,558 and 608,177

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Solution

The third proportional to 450,558 and 608,177 is: 820,935.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,558 : 608,177 = 608,177 : x
  2. Step 2: Convert to fraction form
    450,558/608,177 = 608,177/x
  3. Step 3: Cross multiply
    450,558x = 608,177 × 608,177
  4. Step 4: Simplify right side
    450,558x = 369,879,263,329
  5. Step 5: Solve for x
    x = 369,879,263,329/450,558
  6. Step 6: Final answer
    x = 820,935.96

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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.