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Finding the Third Proportional to 350,292 and 561,885

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Solution

The third proportional to 350,292 and 561,885 is: 901,290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,292 : 561,885 = 561,885 : x
  2. Step 2: Convert to fraction form
    350,292/561,885 = 561,885/x
  3. Step 3: Cross multiply
    350,292x = 561,885 × 561,885
  4. Step 4: Simplify right side
    350,292x = 315,714,753,225
  5. Step 5: Solve for x
    x = 315,714,753,225/350,292
  6. Step 6: Final answer
    x = 901,290.22

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.