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Finding the Third Proportional to 234,965.81 and 496,722.38

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Solution

The third proportional to 234,965.81 and 496,722.38 is: 1,050,080.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,965.81 : 496,722.38 = 496,722.38 : x
  2. Step 2: Convert to fraction form
    234,965.81/496,722.38 = 496,722.38/x
  3. Step 3: Cross multiply
    234,965.81x = 496,722.38 × 496,722.38
  4. Step 4: Simplify right side
    234,965.81x = 246,733,117,825.64
  5. Step 5: Solve for x
    x = 246,733,117,825.64/234,965.81
  6. Step 6: Final answer
    x = 1,050,080.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.