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Finding the Third Proportional to 291,198 and 596,510

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Solution

The third proportional to 291,198 and 596,510 is: 1,221,932.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,198 : 596,510 = 596,510 : x
  2. Step 2: Convert to fraction form
    291,198/596,510 = 596,510/x
  3. Step 3: Cross multiply
    291,198x = 596,510 × 596,510
  4. Step 4: Simplify right side
    291,198x = 355,824,180,100
  5. Step 5: Solve for x
    x = 355,824,180,100/291,198
  6. Step 6: Final answer
    x = 1,221,932.09

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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.