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Finding the Third Proportional to 567,193.50 and 850,790.25

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Solution

The third proportional to 567,193.50 and 850,790.25 is: 1,276,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,193.50 : 850,790.25 = 850,790.25 : x
  2. Step 2: Convert to fraction form
    567,193.50/850,790.25 = 850,790.25/x
  3. Step 3: Cross multiply
    567,193.50x = 850,790.25 × 850,790.25
  4. Step 4: Simplify right side
    567,193.50x = 723,844,049,495.06
  5. Step 5: Solve for x
    x = 723,844,049,495.06/567,193.50
  6. Step 6: Final answer
    x = 1,276,185.38

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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.