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Finding the Third Proportional to 334,824.75 and 505,256.25

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Solution

The third proportional to 334,824.75 and 505,256.25 is: 762,440.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,824.75 : 505,256.25 = 505,256.25 : x
  2. Step 2: Convert to fraction form
    334,824.75/505,256.25 = 505,256.25/x
  3. Step 3: Cross multiply
    334,824.75x = 505,256.25 × 505,256.25
  4. Step 4: Simplify right side
    334,824.75x = 255,283,878,164.06
  5. Step 5: Solve for x
    x = 255,283,878,164.06/334,824.75
  6. Step 6: Final answer
    x = 762,440.29

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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.