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Finding the Third Proportional to 343,951 and 467,077

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Solution

The third proportional to 343,951 and 467,077 is: 634,279.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,951 : 467,077 = 467,077 : x
  2. Step 2: Convert to fraction form
    343,951/467,077 = 467,077/x
  3. Step 3: Cross multiply
    343,951x = 467,077 × 467,077
  4. Step 4: Simplify right side
    343,951x = 218,160,923,929
  5. Step 5: Solve for x
    x = 218,160,923,929/343,951
  6. Step 6: Final answer
    x = 634,279.08

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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.