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Finding the Third Proportional to 343,508 and 504,999

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Solution

The third proportional to 343,508 and 504,999 is: 742,410.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,508 : 504,999 = 504,999 : x
  2. Step 2: Convert to fraction form
    343,508/504,999 = 504,999/x
  3. Step 3: Cross multiply
    343,508x = 504,999 × 504,999
  4. Step 4: Simplify right side
    343,508x = 255,023,990,001
  5. Step 5: Solve for x
    x = 255,023,990,001/343,508
  6. Step 6: Final answer
    x = 742,410.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.