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Finding the Third Proportional to 347,292 and 713,016

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Solution

The third proportional to 347,292 and 713,016 is: 1,463,874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,292 : 713,016 = 713,016 : x
  2. Step 2: Convert to fraction form
    347,292/713,016 = 713,016/x
  3. Step 3: Cross multiply
    347,292x = 713,016 × 713,016
  4. Step 4: Simplify right side
    347,292x = 508,391,816,256
  5. Step 5: Solve for x
    x = 508,391,816,256/347,292
  6. Step 6: Final answer
    x = 1,463,874.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.