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Finding the Third Proportional to 488.53 and 1,050.47

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Solution

The third proportional to 488.53 and 1,050.47 is: 2,258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.53 : 1,050.47 = 1,050.47 : x
  2. Step 2: Convert to fraction form
    488.53/1,050.47 = 1,050.47/x
  3. Step 3: Cross multiply
    488.53x = 1,050.47 × 1,050.47
  4. Step 4: Simplify right side
    488.53x = 1,103,484.59
  5. Step 5: Solve for x
    x = 1,103,484.59/488.53
  6. Step 6: Final answer
    x = 2,258.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.