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Finding the Third Proportional to 341,928 and 746,793

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Solution

The third proportional to 341,928 and 746,793 is: 1,631,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,928 : 746,793 = 746,793 : x
  2. Step 2: Convert to fraction form
    341,928/746,793 = 746,793/x
  3. Step 3: Cross multiply
    341,928x = 746,793 × 746,793
  4. Step 4: Simplify right side
    341,928x = 557,699,784,849
  5. Step 5: Solve for x
    x = 557,699,784,849/341,928
  6. Step 6: Final answer
    x = 1,631,044.50

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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.