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Finding the Third Proportional to 369,101.81 and 795,817.41

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Solution

The third proportional to 369,101.81 and 795,817.41 is: 1,715,855.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,101.81 : 795,817.41 = 795,817.41 : x
  2. Step 2: Convert to fraction form
    369,101.81/795,817.41 = 795,817.41/x
  3. Step 3: Cross multiply
    369,101.81x = 795,817.41 × 795,817.41
  4. Step 4: Simplify right side
    369,101.81x = 633,325,344,090.48
  5. Step 5: Solve for x
    x = 633,325,344,090.48/369,101.81
  6. Step 6: Final answer
    x = 1,715,855.42

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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.