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Finding the Third Proportional to 353,727 and 763,929

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Solution

The third proportional to 353,727 and 763,929 is: 1,649,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,727 : 763,929 = 763,929 : x
  2. Step 2: Convert to fraction form
    353,727/763,929 = 763,929/x
  3. Step 3: Cross multiply
    353,727x = 763,929 × 763,929
  4. Step 4: Simplify right side
    353,727x = 583,587,517,041
  5. Step 5: Solve for x
    x = 583,587,517,041/353,727
  6. Step 6: Final answer
    x = 1,649,824.63

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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.