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Finding the Third Proportional to 343,822 and 466,939

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Solution

The third proportional to 343,822 and 466,939 is: 634,142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,822 : 466,939 = 466,939 : x
  2. Step 2: Convert to fraction form
    343,822/466,939 = 466,939/x
  3. Step 3: Cross multiply
    343,822x = 466,939 × 466,939
  4. Step 4: Simplify right side
    343,822x = 218,032,029,721
  5. Step 5: Solve for x
    x = 218,032,029,721/343,822
  6. Step 6: Final answer
    x = 634,142.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.