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Finding the Third Proportional to 341,934 and 746,805

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Solution

The third proportional to 341,934 and 746,805 is: 1,631,068.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,934 : 746,805 = 746,805 : x
  2. Step 2: Convert to fraction form
    341,934/746,805 = 746,805/x
  3. Step 3: Cross multiply
    341,934x = 746,805 × 746,805
  4. Step 4: Simplify right side
    341,934x = 557,717,708,025
  5. Step 5: Solve for x
    x = 557,717,708,025/341,934
  6. Step 6: Final answer
    x = 1,631,068.30

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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.