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Finding the Third Proportional to 335,057 and 722,599

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Solution

The third proportional to 335,057 and 722,599 is: 1,558,389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,057 : 722,599 = 722,599 : x
  2. Step 2: Convert to fraction form
    335,057/722,599 = 722,599/x
  3. Step 3: Cross multiply
    335,057x = 722,599 × 722,599
  4. Step 4: Simplify right side
    335,057x = 522,149,314,801
  5. Step 5: Solve for x
    x = 522,149,314,801/335,057
  6. Step 6: Final answer
    x = 1,558,389.51

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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.