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Finding the Third Proportional to 339,066 and 496,432

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Solution

The third proportional to 339,066 and 496,432 is: 726,834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,066 : 496,432 = 496,432 : x
  2. Step 2: Convert to fraction form
    339,066/496,432 = 496,432/x
  3. Step 3: Cross multiply
    339,066x = 496,432 × 496,432
  4. Step 4: Simplify right side
    339,066x = 246,444,730,624
  5. Step 5: Solve for x
    x = 246,444,730,624/339,066
  6. Step 6: Final answer
    x = 726,834.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.