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Finding the Third Proportional to 435.94 and 1,061.16

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Solution

The third proportional to 435.94 and 1,061.16 is: 2,583.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.94 : 1,061.16 = 1,061.16 : x
  2. Step 2: Convert to fraction form
    435.94/1,061.16 = 1,061.16/x
  3. Step 3: Cross multiply
    435.94x = 1,061.16 × 1,061.16
  4. Step 4: Simplify right side
    435.94x = 1,126,052.59
  5. Step 5: Solve for x
    x = 1,126,052.59/435.94
  6. Step 6: Final answer
    x = 2,583.06

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.