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Finding the Third Proportional to 484,404 and 726,768

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Solution

The third proportional to 484,404 and 726,768 is: 1,090,395.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,404 : 726,768 = 726,768 : x
  2. Step 2: Convert to fraction form
    484,404/726,768 = 726,768/x
  3. Step 3: Cross multiply
    484,404x = 726,768 × 726,768
  4. Step 4: Simplify right side
    484,404x = 528,191,725,824
  5. Step 5: Solve for x
    x = 528,191,725,824/484,404
  6. Step 6: Final answer
    x = 1,090,395.05

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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.