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Finding the Third Proportional to 572,190.75 and 865,650.38

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Solution

The third proportional to 572,190.75 and 865,650.38 is: 1,309,616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,190.75 : 865,650.38 = 865,650.38 : x
  2. Step 2: Convert to fraction form
    572,190.75/865,650.38 = 865,650.38/x
  3. Step 3: Cross multiply
    572,190.75x = 865,650.38 × 865,650.38
  4. Step 4: Simplify right side
    572,190.75x = 749,350,571,737.64
  5. Step 5: Solve for x
    x = 749,350,571,737.64/572,190.75
  6. Step 6: Final answer
    x = 1,309,616.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.