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Finding the Third Proportional to 341,855.44 and 743,914.13

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Solution

The third proportional to 341,855.44 and 743,914.13 is: 1,618,836.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,855.44 : 743,914.13 = 743,914.13 : x
  2. Step 2: Convert to fraction form
    341,855.44/743,914.13 = 743,914.13/x
  3. Step 3: Cross multiply
    341,855.44x = 743,914.13 × 743,914.13
  4. Step 4: Simplify right side
    341,855.44x = 553,408,225,374.52
  5. Step 5: Solve for x
    x = 553,408,225,374.52/341,855.44
  6. Step 6: Final answer
    x = 1,618,836.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.