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Finding the Third Proportional to 335,136 and 722,744

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Solution

The third proportional to 335,136 and 722,744 is: 1,558,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,136 : 722,744 = 722,744 : x
  2. Step 2: Convert to fraction form
    335,136/722,744 = 722,744/x
  3. Step 3: Cross multiply
    335,136x = 722,744 × 722,744
  4. Step 4: Simplify right side
    335,136x = 522,358,889,536
  5. Step 5: Solve for x
    x = 522,358,889,536/335,136
  6. Step 6: Final answer
    x = 1,558,647.50

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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.