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Finding the Third Proportional to 488.63 and 634.13

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Solution

The third proportional to 488.63 and 634.13 is: 822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.63 : 634.13 = 634.13 : x
  2. Step 2: Convert to fraction form
    488.63/634.13 = 634.13/x
  3. Step 3: Cross multiply
    488.63x = 634.13 × 634.13
  4. Step 4: Simplify right side
    488.63x = 402,114.52
  5. Step 5: Solve for x
    x = 402,114.52/488.63
  6. Step 6: Final answer
    x = 822.95

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.