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Finding the Third Proportional to 330,764 and 726,328

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Solution

The third proportional to 330,764 and 726,328 is: 1,594,950.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,764 : 726,328 = 726,328 : x
  2. Step 2: Convert to fraction form
    330,764/726,328 = 726,328/x
  3. Step 3: Cross multiply
    330,764x = 726,328 × 726,328
  4. Step 4: Simplify right side
    330,764x = 527,552,363,584
  5. Step 5: Solve for x
    x = 527,552,363,584/330,764
  6. Step 6: Final answer
    x = 1,594,950.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.