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Finding the Third Proportional to 401,101.88 and 835,828.88

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Solution

The third proportional to 401,101.88 and 835,828.88 is: 1,741,726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,101.88 : 835,828.88 = 835,828.88 : x
  2. Step 2: Convert to fraction form
    401,101.88/835,828.88 = 835,828.88/x
  3. Step 3: Cross multiply
    401,101.88x = 835,828.88 × 835,828.88
  4. Step 4: Simplify right side
    401,101.88x = 698,609,908,283.77
  5. Step 5: Solve for x
    x = 698,609,908,283.77/401,101.88
  6. Step 6: Final answer
    x = 1,741,726.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.