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Finding the Third Proportional to 267,652,498.50 and 409,171,608

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Solution

The third proportional to 267,652,498.50 and 409,171,608 is: 625,517,810.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,652,498.50 : 409,171,608 = 409,171,608 : x
  2. Step 2: Convert to fraction form
    267,652,498.50/409,171,608 = 409,171,608/x
  3. Step 3: Cross multiply
    267,652,498.50x = 409,171,608 × 409,171,608
  4. Step 4: Simplify right side
    267,652,498.50x = 167,421,404,793,305,664
  5. Step 5: Solve for x
    x = 167,421,404,793,305,664/267,652,498.50
  6. Step 6: Final answer
    x = 625,517,810.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.