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Finding the Third Proportional to 334,004.25 and 503,861.44

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Solution

The third proportional to 334,004.25 and 503,861.44 is: 760,099.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,004.25 : 503,861.44 = 503,861.44 : x
  2. Step 2: Convert to fraction form
    334,004.25/503,861.44 = 503,861.44/x
  3. Step 3: Cross multiply
    334,004.25x = 503,861.44 × 503,861.44
  4. Step 4: Simplify right side
    334,004.25x = 253,876,348,199.57
  5. Step 5: Solve for x
    x = 253,876,348,199.57/334,004.25
  6. Step 6: Final answer
    x = 760,099.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.