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Finding the Third Proportional to 680,575.50 and 1,467,217.13

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Solution

The third proportional to 680,575.50 and 1,467,217.13 is: 3,163,096.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,575.50 : 1,467,217.13 = 1,467,217.13 : x
  2. Step 2: Convert to fraction form
    680,575.50/1,467,217.13 = 1,467,217.13/x
  3. Step 3: Cross multiply
    680,575.50x = 1,467,217.13 × 1,467,217.13
  4. Step 4: Simplify right side
    680,575.50x = 2,152,726,091,893.27
  5. Step 5: Solve for x
    x = 2,152,726,091,893.27/680,575.50
  6. Step 6: Final answer
    x = 3,163,096.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.