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Finding the Third Proportional to 254,349 and 552,438

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Solution

The third proportional to 254,349 and 552,438 is: 1,199,877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,349 : 552,438 = 552,438 : x
  2. Step 2: Convert to fraction form
    254,349/552,438 = 552,438/x
  3. Step 3: Cross multiply
    254,349x = 552,438 × 552,438
  4. Step 4: Simplify right side
    254,349x = 305,187,743,844
  5. Step 5: Solve for x
    x = 305,187,743,844/254,349
  6. Step 6: Final answer
    x = 1,199,877.90

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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.