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Finding the Third Proportional to 245,847.66 and 536,376.94

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Solution

The third proportional to 245,847.66 and 536,376.94 is: 1,170,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,847.66 : 536,376.94 = 536,376.94 : x
  2. Step 2: Convert to fraction form
    245,847.66/536,376.94 = 536,376.94/x
  3. Step 3: Cross multiply
    245,847.66x = 536,376.94 × 536,376.94
  4. Step 4: Simplify right side
    245,847.66x = 287,700,219,081.88
  5. Step 5: Solve for x
    x = 287,700,219,081.88/245,847.66
  6. Step 6: Final answer
    x = 1,170,237.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.