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Finding the Third Proportional to 254,744 and 553,722

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Solution

The third proportional to 254,744 and 553,722 is: 1,203,592.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,744 : 553,722 = 553,722 : x
  2. Step 2: Convert to fraction form
    254,744/553,722 = 553,722/x
  3. Step 3: Cross multiply
    254,744x = 553,722 × 553,722
  4. Step 4: Simplify right side
    254,744x = 306,608,053,284
  5. Step 5: Solve for x
    x = 306,608,053,284/254,744
  6. Step 6: Final answer
    x = 1,203,592.84

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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.