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Finding the Third Proportional to 254,365 and 552,469

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Solution

The third proportional to 254,365 and 552,469 is: 1,199,937.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,365 : 552,469 = 552,469 : x
  2. Step 2: Convert to fraction form
    254,365/552,469 = 552,469/x
  3. Step 3: Cross multiply
    254,365x = 552,469 × 552,469
  4. Step 4: Simplify right side
    254,365x = 305,221,995,961
  5. Step 5: Solve for x
    x = 305,221,995,961/254,365
  6. Step 6: Final answer
    x = 1,199,937.08

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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.