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Finding the Third Proportional to 350,092 and 713,018

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Solution

The third proportional to 350,092 and 713,018 is: 1,452,174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,092 : 713,018 = 713,018 : x
  2. Step 2: Convert to fraction form
    350,092/713,018 = 713,018/x
  3. Step 3: Cross multiply
    350,092x = 713,018 × 713,018
  4. Step 4: Simplify right side
    350,092x = 508,394,668,324
  5. Step 5: Solve for x
    x = 508,394,668,324/350,092
  6. Step 6: Final answer
    x = 1,452,174.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.