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Finding the Third Proportional to 416,270 and 902,525

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Solution

The third proportional to 416,270 and 902,525 is: 1,956,786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,270 : 902,525 = 902,525 : x
  2. Step 2: Convert to fraction form
    416,270/902,525 = 902,525/x
  3. Step 3: Cross multiply
    416,270x = 902,525 × 902,525
  4. Step 4: Simplify right side
    416,270x = 814,551,375,625
  5. Step 5: Solve for x
    x = 814,551,375,625/416,270
  6. Step 6: Final answer
    x = 1,956,786.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.