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Finding the Third Proportional to 523.50 and 975.75

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Solution

The third proportional to 523.50 and 975.75 is: 1,818.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.50 : 975.75 = 975.75 : x
  2. Step 2: Convert to fraction form
    523.50/975.75 = 975.75/x
  3. Step 3: Cross multiply
    523.50x = 975.75 × 975.75
  4. Step 4: Simplify right side
    523.50x = 952,088.06
  5. Step 5: Solve for x
    x = 952,088.06/523.50
  6. Step 6: Final answer
    x = 1,818.70

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.