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Finding the Third Proportional to 341,930 and 744,063

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Solution

The third proportional to 341,930 and 744,063 is: 1,619,131.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,930 : 744,063 = 744,063 : x
  2. Step 2: Convert to fraction form
    341,930/744,063 = 744,063/x
  3. Step 3: Cross multiply
    341,930x = 744,063 × 744,063
  4. Step 4: Simplify right side
    341,930x = 553,629,747,969
  5. Step 5: Solve for x
    x = 553,629,747,969/341,930
  6. Step 6: Final answer
    x = 1,619,131.83

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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.