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Finding the Third Proportional to 697.50 and 977.63

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Solution

The third proportional to 697.50 and 977.63 is: 1,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.50 : 977.63 = 977.63 : x
  2. Step 2: Convert to fraction form
    697.50/977.63 = 977.63/x
  3. Step 3: Cross multiply
    697.50x = 977.63 × 977.63
  4. Step 4: Simplify right side
    697.50x = 955,750.64
  5. Step 5: Solve for x
    x = 955,750.64/697.50
  6. Step 6: Final answer
    x = 1,370.25

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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.