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Finding the Third Proportional to 343,656 and 501,876

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Solution

The third proportional to 343,656 and 501,876 is: 732,940.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,656 : 501,876 = 501,876 : x
  2. Step 2: Convert to fraction form
    343,656/501,876 = 501,876/x
  3. Step 3: Cross multiply
    343,656x = 501,876 × 501,876
  4. Step 4: Simplify right side
    343,656x = 251,879,519,376
  5. Step 5: Solve for x
    x = 251,879,519,376/343,656
  6. Step 6: Final answer
    x = 732,940.85

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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.