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Finding the Third Proportional to 254,247 and 552,232

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Solution

The third proportional to 254,247 and 552,232 is: 1,199,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,247 : 552,232 = 552,232 : x
  2. Step 2: Convert to fraction form
    254,247/552,232 = 552,232/x
  3. Step 3: Cross multiply
    254,247x = 552,232 × 552,232
  4. Step 4: Simplify right side
    254,247x = 304,960,181,824
  5. Step 5: Solve for x
    x = 304,960,181,824/254,247
  6. Step 6: Final answer
    x = 1,199,464.23

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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.