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Finding the Third Proportional to 567,584.63 and 853,761.38

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Solution

The third proportional to 567,584.63 and 853,761.38 is: 1,284,228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,584.63 : 853,761.38 = 853,761.38 : x
  2. Step 2: Convert to fraction form
    567,584.63/853,761.38 = 853,761.38/x
  3. Step 3: Cross multiply
    567,584.63x = 853,761.38 × 853,761.38
  4. Step 4: Simplify right side
    567,584.63x = 728,908,485,441.89
  5. Step 5: Solve for x
    x = 728,908,485,441.89/567,584.63
  6. Step 6: Final answer
    x = 1,284,228.74

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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.