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Finding the Third Proportional to 330,278 and 717,944

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Solution

The third proportional to 330,278 and 717,944 is: 1,560,635.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,278 : 717,944 = 717,944 : x
  2. Step 2: Convert to fraction form
    330,278/717,944 = 717,944/x
  3. Step 3: Cross multiply
    330,278x = 717,944 × 717,944
  4. Step 4: Simplify right side
    330,278x = 515,443,587,136
  5. Step 5: Solve for x
    x = 515,443,587,136/330,278
  6. Step 6: Final answer
    x = 1,560,635.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.