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Finding the Third Proportional to 847.31 and 1,860.56

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Solution

The third proportional to 847.31 and 1,860.56 is: 4,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.31 : 1,860.56 = 1,860.56 : x
  2. Step 2: Convert to fraction form
    847.31/1,860.56 = 1,860.56/x
  3. Step 3: Cross multiply
    847.31x = 1,860.56 × 1,860.56
  4. Step 4: Simplify right side
    847.31x = 3,461,692.82
  5. Step 5: Solve for x
    x = 3,461,692.82/847.31
  6. Step 6: Final answer
    x = 4,085.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.