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Finding the Third Proportional to 254,320 and 552,336

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Solution

The third proportional to 254,320 and 552,336 is: 1,199,571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,320 : 552,336 = 552,336 : x
  2. Step 2: Convert to fraction form
    254,320/552,336 = 552,336/x
  3. Step 3: Cross multiply
    254,320x = 552,336 × 552,336
  4. Step 4: Simplify right side
    254,320x = 305,075,056,896
  5. Step 5: Solve for x
    x = 305,075,056,896/254,320
  6. Step 6: Final answer
    x = 1,199,571.63

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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.