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Finding the Third Proportional to 250,371 and 381,862

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Solution

The third proportional to 250,371 and 381,862 is: 582,410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,371 : 381,862 = 381,862 : x
  2. Step 2: Convert to fraction form
    250,371/381,862 = 381,862/x
  3. Step 3: Cross multiply
    250,371x = 381,862 × 381,862
  4. Step 4: Simplify right side
    250,371x = 145,818,587,044
  5. Step 5: Solve for x
    x = 145,818,587,044/250,371
  6. Step 6: Final answer
    x = 582,410.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.