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Finding the Third Proportional to 330,748 and 726,296

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Solution

The third proportional to 330,748 and 726,296 is: 1,594,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,748 : 726,296 = 726,296 : x
  2. Step 2: Convert to fraction form
    330,748/726,296 = 726,296/x
  3. Step 3: Cross multiply
    330,748x = 726,296 × 726,296
  4. Step 4: Simplify right side
    330,748x = 527,505,879,616
  5. Step 5: Solve for x
    x = 527,505,879,616/330,748
  6. Step 6: Final answer
    x = 1,594,887.59

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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.