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Finding the Third Proportional to 349,261 and 533,915

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Solution

The third proportional to 349,261 and 533,915 is: 816,195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,261 : 533,915 = 533,915 : x
  2. Step 2: Convert to fraction form
    349,261/533,915 = 533,915/x
  3. Step 3: Cross multiply
    349,261x = 533,915 × 533,915
  4. Step 4: Simplify right side
    349,261x = 285,065,227,225
  5. Step 5: Solve for x
    x = 285,065,227,225/349,261
  6. Step 6: Final answer
    x = 816,195.42

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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.