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Finding the Third Proportional to 484,388 and 726,744

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Solution

The third proportional to 484,388 and 726,744 is: 1,090,359.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,388 : 726,744 = 726,744 : x
  2. Step 2: Convert to fraction form
    484,388/726,744 = 726,744/x
  3. Step 3: Cross multiply
    484,388x = 726,744 × 726,744
  4. Step 4: Simplify right side
    484,388x = 528,156,841,536
  5. Step 5: Solve for x
    x = 528,156,841,536/484,388
  6. Step 6: Final answer
    x = 1,090,359.05

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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.