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Finding the Third Proportional to 330,746 and 726,292

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Solution

The third proportional to 330,746 and 726,292 is: 1,594,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,746 : 726,292 = 726,292 : x
  2. Step 2: Convert to fraction form
    330,746/726,292 = 726,292/x
  3. Step 3: Cross multiply
    330,746x = 726,292 × 726,292
  4. Step 4: Simplify right side
    330,746x = 527,500,069,264
  5. Step 5: Solve for x
    x = 527,500,069,264/330,746
  6. Step 6: Final answer
    x = 1,594,879.66

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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.