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Finding the Third Proportional to 291,206 and 596,524

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Solution

The third proportional to 291,206 and 596,524 is: 1,221,955.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,206 : 596,524 = 596,524 : x
  2. Step 2: Convert to fraction form
    291,206/596,524 = 596,524/x
  3. Step 3: Cross multiply
    291,206x = 596,524 × 596,524
  4. Step 4: Simplify right side
    291,206x = 355,840,882,576
  5. Step 5: Solve for x
    x = 355,840,882,576/291,206
  6. Step 6: Final answer
    x = 1,221,955.88

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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.