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Finding the Third Proportional to 349,212 and 533,955

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Solution

The third proportional to 349,212 and 533,955 is: 816,432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,212 : 533,955 = 533,955 : x
  2. Step 2: Convert to fraction form
    349,212/533,955 = 533,955/x
  3. Step 3: Cross multiply
    349,212x = 533,955 × 533,955
  4. Step 4: Simplify right side
    349,212x = 285,107,942,025
  5. Step 5: Solve for x
    x = 285,107,942,025/349,212
  6. Step 6: Final answer
    x = 816,432.26

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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.