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Finding the Third Proportional to 335,126 and 722,727

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Solution

The third proportional to 335,126 and 722,727 is: 1,558,620.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,126 : 722,727 = 722,727 : x
  2. Step 2: Convert to fraction form
    335,126/722,727 = 722,727/x
  3. Step 3: Cross multiply
    335,126x = 722,727 × 722,727
  4. Step 4: Simplify right side
    335,126x = 522,334,316,529
  5. Step 5: Solve for x
    x = 522,334,316,529/335,126
  6. Step 6: Final answer
    x = 1,558,620.69

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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.