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Finding the Third Proportional to 634,801.50 and 861,165

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Solution

The third proportional to 634,801.50 and 861,165 is: 1,168,247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,801.50 : 861,165 = 861,165 : x
  2. Step 2: Convert to fraction form
    634,801.50/861,165 = 861,165/x
  3. Step 3: Cross multiply
    634,801.50x = 861,165 × 861,165
  4. Step 4: Simplify right side
    634,801.50x = 741,605,157,225
  5. Step 5: Solve for x
    x = 741,605,157,225/634,801.50
  6. Step 6: Final answer
    x = 1,168,247.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.