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Finding the Third Proportional to 313,682 and 740,381

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Solution

The third proportional to 313,682 and 740,381 is: 1,747,515.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,682 : 740,381 = 740,381 : x
  2. Step 2: Convert to fraction form
    313,682/740,381 = 740,381/x
  3. Step 3: Cross multiply
    313,682x = 740,381 × 740,381
  4. Step 4: Simplify right side
    313,682x = 548,164,025,161
  5. Step 5: Solve for x
    x = 548,164,025,161/313,682
  6. Step 6: Final answer
    x = 1,747,515.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.