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Finding the Third Proportional to 343,616 and 534,376

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Solution

The third proportional to 343,616 and 534,376 is: 831,037.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,616 : 534,376 = 534,376 : x
  2. Step 2: Convert to fraction form
    343,616/534,376 = 534,376/x
  3. Step 3: Cross multiply
    343,616x = 534,376 × 534,376
  4. Step 4: Simplify right side
    343,616x = 285,557,709,376
  5. Step 5: Solve for x
    x = 285,557,709,376/343,616
  6. Step 6: Final answer
    x = 831,037.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.