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Finding the Third Proportional to 484,356.50 and 664,889.25

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Solution

The third proportional to 484,356.50 and 664,889.25 is: 912,711.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,356.50 : 664,889.25 = 664,889.25 : x
  2. Step 2: Convert to fraction form
    484,356.50/664,889.25 = 664,889.25/x
  3. Step 3: Cross multiply
    484,356.50x = 664,889.25 × 664,889.25
  4. Step 4: Simplify right side
    484,356.50x = 442,077,714,765.56
  5. Step 5: Solve for x
    x = 442,077,714,765.56/484,356.50
  6. Step 6: Final answer
    x = 912,711.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.