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Finding the Third Proportional to 354,048 and 764,448

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Solution

The third proportional to 354,048 and 764,448 is: 1,650,569.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,048 : 764,448 = 764,448 : x
  2. Step 2: Convert to fraction form
    354,048/764,448 = 764,448/x
  3. Step 3: Cross multiply
    354,048x = 764,448 × 764,448
  4. Step 4: Simplify right side
    354,048x = 584,380,744,704
  5. Step 5: Solve for x
    x = 584,380,744,704/354,048
  6. Step 6: Final answer
    x = 1,650,569.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.