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Finding the Third Proportional to 341,930 and 746,797

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Solution

The third proportional to 341,930 and 746,797 is: 1,631,052.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,930 : 746,797 = 746,797 : x
  2. Step 2: Convert to fraction form
    341,930/746,797 = 746,797/x
  3. Step 3: Cross multiply
    341,930x = 746,797 × 746,797
  4. Step 4: Simplify right side
    341,930x = 557,705,759,209
  5. Step 5: Solve for x
    x = 557,705,759,209/341,930
  6. Step 6: Final answer
    x = 1,631,052.44

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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.