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Finding the Third Proportional to 335,074 and 722,636

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Solution

The third proportional to 335,074 and 722,636 is: 1,558,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,074 : 722,636 = 722,636 : x
  2. Step 2: Convert to fraction form
    335,074/722,636 = 722,636/x
  3. Step 3: Cross multiply
    335,074x = 722,636 × 722,636
  4. Step 4: Simplify right side
    335,074x = 522,202,788,496
  5. Step 5: Solve for x
    x = 522,202,788,496/335,074
  6. Step 6: Final answer
    x = 1,558,470.03

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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.