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Finding the Third Proportional to 234,086 and 496,060

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Solution

The third proportional to 234,086 and 496,060 is: 1,051,218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,086 : 496,060 = 496,060 : x
  2. Step 2: Convert to fraction form
    234,086/496,060 = 496,060/x
  3. Step 3: Cross multiply
    234,086x = 496,060 × 496,060
  4. Step 4: Simplify right side
    234,086x = 246,075,523,600
  5. Step 5: Solve for x
    x = 246,075,523,600/234,086
  6. Step 6: Final answer
    x = 1,051,218.46

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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.