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Finding the Third Proportional to 254,368 and 552,512

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Solution

The third proportional to 254,368 and 552,512 is: 1,200,109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,368 : 552,512 = 552,512 : x
  2. Step 2: Convert to fraction form
    254,368/552,512 = 552,512/x
  3. Step 3: Cross multiply
    254,368x = 552,512 × 552,512
  4. Step 4: Simplify right side
    254,368x = 305,269,510,144
  5. Step 5: Solve for x
    x = 305,269,510,144/254,368
  6. Step 6: Final answer
    x = 1,200,109.72

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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.