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Finding the Third Proportional to 640.88 and 1,069.50

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Solution

The third proportional to 640.88 and 1,069.50 is: 1,784.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.88 : 1,069.50 = 1,069.50 : x
  2. Step 2: Convert to fraction form
    640.88/1,069.50 = 1,069.50/x
  3. Step 3: Cross multiply
    640.88x = 1,069.50 × 1,069.50
  4. Step 4: Simplify right side
    640.88x = 1,143,830.25
  5. Step 5: Solve for x
    x = 1,143,830.25/640.88
  6. Step 6: Final answer
    x = 1,784.79

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.