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Finding the Third Proportional to 295,162 and 442,807

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Solution

The third proportional to 295,162 and 442,807 is: 664,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,162 : 442,807 = 442,807 : x
  2. Step 2: Convert to fraction form
    295,162/442,807 = 442,807/x
  3. Step 3: Cross multiply
    295,162x = 442,807 × 442,807
  4. Step 4: Simplify right side
    295,162x = 196,078,039,249
  5. Step 5: Solve for x
    x = 196,078,039,249/295,162
  6. Step 6: Final answer
    x = 664,306.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.