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Finding the Third Proportional to 335,304 and 722,880

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Solution

The third proportional to 335,304 and 722,880 is: 1,558,452.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,304 : 722,880 = 722,880 : x
  2. Step 2: Convert to fraction form
    335,304/722,880 = 722,880/x
  3. Step 3: Cross multiply
    335,304x = 722,880 × 722,880
  4. Step 4: Simplify right side
    335,304x = 522,555,494,400
  5. Step 5: Solve for x
    x = 522,555,494,400/335,304
  6. Step 6: Final answer
    x = 1,558,452.91

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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.