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Finding the Third Proportional to 334,823.25 and 505,254

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Solution

The third proportional to 334,823.25 and 505,254 is: 762,436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,823.25 : 505,254 = 505,254 : x
  2. Step 2: Convert to fraction form
    334,823.25/505,254 = 505,254/x
  3. Step 3: Cross multiply
    334,823.25x = 505,254 × 505,254
  4. Step 4: Simplify right side
    334,823.25x = 255,281,604,516
  5. Step 5: Solve for x
    x = 255,281,604,516/334,823.25
  6. Step 6: Final answer
    x = 762,436.91

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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.