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Finding the Third Proportional to 343,381 and 743,964

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Solution

The third proportional to 343,381 and 743,964 is: 1,611,860.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,381 : 743,964 = 743,964 : x
  2. Step 2: Convert to fraction form
    343,381/743,964 = 743,964/x
  3. Step 3: Cross multiply
    343,381x = 743,964 × 743,964
  4. Step 4: Simplify right side
    343,381x = 553,482,433,296
  5. Step 5: Solve for x
    x = 553,482,433,296/343,381
  6. Step 6: Final answer
    x = 1,611,860.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.