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Finding the Third Proportional to 491.81 and 1,073.06

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Solution

The third proportional to 491.81 and 1,073.06 is: 2,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.81 : 1,073.06 = 1,073.06 : x
  2. Step 2: Convert to fraction form
    491.81/1,073.06 = 1,073.06/x
  3. Step 3: Cross multiply
    491.81x = 1,073.06 × 1,073.06
  4. Step 4: Simplify right side
    491.81x = 1,151,463.13
  5. Step 5: Solve for x
    x = 1,151,463.13/491.81
  6. Step 6: Final answer
    x = 2,341.26

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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.