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Finding the Third Proportional to 291,195 and 600,966

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Solution

The third proportional to 291,195 and 600,966 is: 1,240,269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,195 : 600,966 = 600,966 : x
  2. Step 2: Convert to fraction form
    291,195/600,966 = 600,966/x
  3. Step 3: Cross multiply
    291,195x = 600,966 × 600,966
  4. Step 4: Simplify right side
    291,195x = 361,160,133,156
  5. Step 5: Solve for x
    x = 361,160,133,156/291,195
  6. Step 6: Final answer
    x = 1,240,269.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.