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Finding the Third Proportional to 341,377 and 704,805

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Solution

The third proportional to 341,377 and 704,805 is: 1,455,136.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,377 : 704,805 = 704,805 : x
  2. Step 2: Convert to fraction form
    341,377/704,805 = 704,805/x
  3. Step 3: Cross multiply
    341,377x = 704,805 × 704,805
  4. Step 4: Simplify right side
    341,377x = 496,750,088,025
  5. Step 5: Solve for x
    x = 496,750,088,025/341,377
  6. Step 6: Final answer
    x = 1,455,136.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.