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Finding the Third Proportional to 234,085 and 496,058

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Solution

The third proportional to 234,085 and 496,058 is: 1,051,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,085 : 496,058 = 496,058 : x
  2. Step 2: Convert to fraction form
    234,085/496,058 = 496,058/x
  3. Step 3: Cross multiply
    234,085x = 496,058 × 496,058
  4. Step 4: Simplify right side
    234,085x = 246,073,539,364
  5. Step 5: Solve for x
    x = 246,073,539,364/234,085
  6. Step 6: Final answer
    x = 1,051,214.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.