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Finding the Third Proportional to 610.94 and 971.88

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Solution

The third proportional to 610.94 and 971.88 is: 1,546.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.94 : 971.88 = 971.88 : x
  2. Step 2: Convert to fraction form
    610.94/971.88 = 971.88/x
  3. Step 3: Cross multiply
    610.94x = 971.88 × 971.88
  4. Step 4: Simplify right side
    610.94x = 944,541.02
  5. Step 5: Solve for x
    x = 944,541.02/610.94
  6. Step 6: Final answer
    x = 1,546.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.