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Finding the Third Proportional to 263,058 and 570,381

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Solution

The third proportional to 263,058 and 570,381 is: 1,236,740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,058 : 570,381 = 570,381 : x
  2. Step 2: Convert to fraction form
    263,058/570,381 = 570,381/x
  3. Step 3: Cross multiply
    263,058x = 570,381 × 570,381
  4. Step 4: Simplify right side
    263,058x = 325,334,485,161
  5. Step 5: Solve for x
    x = 325,334,485,161/263,058
  6. Step 6: Final answer
    x = 1,236,740.51

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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.