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Finding the Third Proportional to 914.91 and 2,012.06

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Solution

The third proportional to 914.91 and 2,012.06 is: 4,424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.91 : 2,012.06 = 2,012.06 : x
  2. Step 2: Convert to fraction form
    914.91/2,012.06 = 2,012.06/x
  3. Step 3: Cross multiply
    914.91x = 2,012.06 × 2,012.06
  4. Step 4: Simplify right side
    914.91x = 4,048,395.50
  5. Step 5: Solve for x
    x = 4,048,395.50/914.91
  6. Step 6: Final answer
    x = 4,424.93

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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.