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Finding the Third Proportional to 311,737.50 and 671,157

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Solution

The third proportional to 311,737.50 and 671,157 is: 1,444,971.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,737.50 : 671,157 = 671,157 : x
  2. Step 2: Convert to fraction form
    311,737.50/671,157 = 671,157/x
  3. Step 3: Cross multiply
    311,737.50x = 671,157 × 671,157
  4. Step 4: Simplify right side
    311,737.50x = 450,451,718,649
  5. Step 5: Solve for x
    x = 450,451,718,649/311,737.50
  6. Step 6: Final answer
    x = 1,444,971.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.