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Finding the Third Proportional to 339,244 and 713,360

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Solution

The third proportional to 339,244 and 713,360 is: 1,500,048.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,244 : 713,360 = 713,360 : x
  2. Step 2: Convert to fraction form
    339,244/713,360 = 713,360/x
  3. Step 3: Cross multiply
    339,244x = 713,360 × 713,360
  4. Step 4: Simplify right side
    339,244x = 508,882,489,600
  5. Step 5: Solve for x
    x = 508,882,489,600/339,244
  6. Step 6: Final answer
    x = 1,500,048.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.