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Finding the Third Proportional to 291,228 and 596,568

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Solution

The third proportional to 291,228 and 596,568 is: 1,222,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,228 : 596,568 = 596,568 : x
  2. Step 2: Convert to fraction form
    291,228/596,568 = 596,568/x
  3. Step 3: Cross multiply
    291,228x = 596,568 × 596,568
  4. Step 4: Simplify right side
    291,228x = 355,893,378,624
  5. Step 5: Solve for x
    x = 355,893,378,624/291,228
  6. Step 6: Final answer
    x = 1,222,043.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.