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Finding the Third Proportional to 373,608 and 513,756

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Solution

The third proportional to 373,608 and 513,756 is: 706,476.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,608 : 513,756 = 513,756 : x
  2. Step 2: Convert to fraction form
    373,608/513,756 = 513,756/x
  3. Step 3: Cross multiply
    373,608x = 513,756 × 513,756
  4. Step 4: Simplify right side
    373,608x = 263,945,227,536
  5. Step 5: Solve for x
    x = 263,945,227,536/373,608
  6. Step 6: Final answer
    x = 706,476.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.