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Finding the Third Proportional to 252,854 and 380,881

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Solution

The third proportional to 252,854 and 380,881 is: 573,731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,854 : 380,881 = 380,881 : x
  2. Step 2: Convert to fraction form
    252,854/380,881 = 380,881/x
  3. Step 3: Cross multiply
    252,854x = 380,881 × 380,881
  4. Step 4: Simplify right side
    252,854x = 145,070,336,161
  5. Step 5: Solve for x
    x = 145,070,336,161/252,854
  6. Step 6: Final answer
    x = 573,731.62

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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.