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Finding the Third Proportional to 657.50 and 981.75

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Solution

The third proportional to 657.50 and 981.75 is: 1,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.50 : 981.75 = 981.75 : x
  2. Step 2: Convert to fraction form
    657.50/981.75 = 981.75/x
  3. Step 3: Cross multiply
    657.50x = 981.75 × 981.75
  4. Step 4: Simplify right side
    657.50x = 963,833.06
  5. Step 5: Solve for x
    x = 963,833.06/657.50
  6. Step 6: Final answer
    x = 1,465.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.