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Finding the Third Proportional to 313,684 and 740,386

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Solution

The third proportional to 313,684 and 740,386 is: 1,747,527.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,684 : 740,386 = 740,386 : x
  2. Step 2: Convert to fraction form
    313,684/740,386 = 740,386/x
  3. Step 3: Cross multiply
    313,684x = 740,386 × 740,386
  4. Step 4: Simplify right side
    313,684x = 548,171,428,996
  5. Step 5: Solve for x
    x = 548,171,428,996/313,684
  6. Step 6: Final answer
    x = 1,747,527.54

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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.