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Finding the Third Proportional to 267,611.34 and 415,006.03

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Solution

The third proportional to 267,611.34 and 415,006.03 is: 643,582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,611.34 : 415,006.03 = 415,006.03 : x
  2. Step 2: Convert to fraction form
    267,611.34/415,006.03 = 415,006.03/x
  3. Step 3: Cross multiply
    267,611.34x = 415,006.03 × 415,006.03
  4. Step 4: Simplify right side
    267,611.34x = 172,230,005,973.88
  5. Step 5: Solve for x
    x = 172,230,005,973.88/267,611.34
  6. Step 6: Final answer
    x = 643,582.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.