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Finding the Third Proportional to 252,922 and 381,053

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Solution

The third proportional to 252,922 and 381,053 is: 574,095.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,922 : 381,053 = 381,053 : x
  2. Step 2: Convert to fraction form
    252,922/381,053 = 381,053/x
  3. Step 3: Cross multiply
    252,922x = 381,053 × 381,053
  4. Step 4: Simplify right side
    252,922x = 145,201,388,809
  5. Step 5: Solve for x
    x = 145,201,388,809/252,922
  6. Step 6: Final answer
    x = 574,095.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.