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Finding the Third Proportional to 488 and 695.50

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Solution

The third proportional to 488 and 695.50 is: 991.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    488 : 695.50 = 695.50 : x
  2. Step 2: Convert to fraction form
    488/695.50 = 695.50/x
  3. Step 3: Cross multiply
    488x = 695.50 × 695.50
  4. Step 4: Simplify right side
    488x = 483,720.25
  5. Step 5: Solve for x
    x = 483,720.25/488
  6. Step 6: Final answer
    x = 991.23

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.