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Finding the Third Proportional to 234,012 and 505,382

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Solution

The third proportional to 234,012 and 505,382 is: 1,091,443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,012 : 505,382 = 505,382 : x
  2. Step 2: Convert to fraction form
    234,012/505,382 = 505,382/x
  3. Step 3: Cross multiply
    234,012x = 505,382 × 505,382
  4. Step 4: Simplify right side
    234,012x = 255,410,965,924
  5. Step 5: Solve for x
    x = 255,410,965,924/234,012
  6. Step 6: Final answer
    x = 1,091,443.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.