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Finding the Third Proportional to 461.06 and 981.19

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Solution

The third proportional to 461.06 and 981.19 is: 2,088.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.06 : 981.19 = 981.19 : x
  2. Step 2: Convert to fraction form
    461.06/981.19 = 981.19/x
  3. Step 3: Cross multiply
    461.06x = 981.19 × 981.19
  4. Step 4: Simplify right side
    461.06x = 962,728.91
  5. Step 5: Solve for x
    x = 962,728.91/461.06
  6. Step 6: Final answer
    x = 2,088.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.