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Finding the Third Proportional to 572,000.50 and 856,896.75

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Solution

The third proportional to 572,000.50 and 856,896.75 is: 1,283,691.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,000.50 : 856,896.75 = 856,896.75 : x
  2. Step 2: Convert to fraction form
    572,000.50/856,896.75 = 856,896.75/x
  3. Step 3: Cross multiply
    572,000.50x = 856,896.75 × 856,896.75
  4. Step 4: Simplify right side
    572,000.50x = 734,272,040,160.56
  5. Step 5: Solve for x
    x = 734,272,040,160.56/572,000.50
  6. Step 6: Final answer
    x = 1,283,691.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.