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Finding the Third Proportional to 349,266 and 533,922

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Solution

The third proportional to 349,266 and 533,922 is: 816,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,266 : 533,922 = 533,922 : x
  2. Step 2: Convert to fraction form
    349,266/533,922 = 533,922/x
  3. Step 3: Cross multiply
    349,266x = 533,922 × 533,922
  4. Step 4: Simplify right side
    349,266x = 285,072,702,084
  5. Step 5: Solve for x
    x = 285,072,702,084/349,266
  6. Step 6: Final answer
    x = 816,205.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.