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Finding the Third Proportional to 291,199 and 596,512

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Solution

The third proportional to 291,199 and 596,512 is: 1,221,936.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,199 : 596,512 = 596,512 : x
  2. Step 2: Convert to fraction form
    291,199/596,512 = 596,512/x
  3. Step 3: Cross multiply
    291,199x = 596,512 × 596,512
  4. Step 4: Simplify right side
    291,199x = 355,826,566,144
  5. Step 5: Solve for x
    x = 355,826,566,144/291,199
  6. Step 6: Final answer
    x = 1,221,936.09

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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.