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Finding the Third Proportional to 313,680 and 740,376

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Solution

The third proportional to 313,680 and 740,376 is: 1,747,502.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,680 : 740,376 = 740,376 : x
  2. Step 2: Convert to fraction form
    313,680/740,376 = 740,376/x
  3. Step 3: Cross multiply
    313,680x = 740,376 × 740,376
  4. Step 4: Simplify right side
    313,680x = 548,156,621,376
  5. Step 5: Solve for x
    x = 548,156,621,376/313,680
  6. Step 6: Final answer
    x = 1,747,502.62

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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.