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Finding the Third Proportional to 484,384 and 726,738

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Solution

The third proportional to 484,384 and 726,738 is: 1,090,350.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,384 : 726,738 = 726,738 : x
  2. Step 2: Convert to fraction form
    484,384/726,738 = 726,738/x
  3. Step 3: Cross multiply
    484,384x = 726,738 × 726,738
  4. Step 4: Simplify right side
    484,384x = 528,148,120,644
  5. Step 5: Solve for x
    x = 528,148,120,644/484,384
  6. Step 6: Final answer
    x = 1,090,350.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.