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Finding the Third Proportional to 254,408 and 552,556

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Solution

The third proportional to 254,408 and 552,556 is: 1,200,112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,408 : 552,556 = 552,556 : x
  2. Step 2: Convert to fraction form
    254,408/552,556 = 552,556/x
  3. Step 3: Cross multiply
    254,408x = 552,556 × 552,556
  4. Step 4: Simplify right side
    254,408x = 305,318,133,136
  5. Step 5: Solve for x
    x = 305,318,133,136/254,408
  6. Step 6: Final answer
    x = 1,200,112.16

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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.