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Finding the Third Proportional to 353,592 and 763,668

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Solution

The third proportional to 353,592 and 763,668 is: 1,649,326.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,592 : 763,668 = 763,668 : x
  2. Step 2: Convert to fraction form
    353,592/763,668 = 763,668/x
  3. Step 3: Cross multiply
    353,592x = 763,668 × 763,668
  4. Step 4: Simplify right side
    353,592x = 583,188,814,224
  5. Step 5: Solve for x
    x = 583,188,814,224/353,592
  6. Step 6: Final answer
    x = 1,649,326.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.