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Finding the Third Proportional to 697.50 and 975.19

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Solution

The third proportional to 697.50 and 975.19 is: 1,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.50 : 975.19 = 975.19 : x
  2. Step 2: Convert to fraction form
    697.50/975.19 = 975.19/x
  3. Step 3: Cross multiply
    697.50x = 975.19 × 975.19
  4. Step 4: Simplify right side
    697.50x = 950,990.66
  5. Step 5: Solve for x
    x = 950,990.66/697.50
  6. Step 6: Final answer
    x = 1,363.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.