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Finding the Third Proportional to 254,299.50 and 552,298.50

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Solution

The third proportional to 254,299.50 and 552,298.50 is: 1,199,505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,299.50 : 552,298.50 = 552,298.50 : x
  2. Step 2: Convert to fraction form
    254,299.50/552,298.50 = 552,298.50/x
  3. Step 3: Cross multiply
    254,299.50x = 552,298.50 × 552,298.50
  4. Step 4: Simplify right side
    254,299.50x = 305,033,633,102.25
  5. Step 5: Solve for x
    x = 305,033,633,102.25/254,299.50
  6. Step 6: Final answer
    x = 1,199,505.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.