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Finding the Third Proportional to 624.63 and 684.63

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Solution

The third proportional to 624.63 and 684.63 is: 750.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.63 : 684.63 = 684.63 : x
  2. Step 2: Convert to fraction form
    624.63/684.63 = 684.63/x
  3. Step 3: Cross multiply
    624.63x = 684.63 × 684.63
  4. Step 4: Simplify right side
    624.63x = 468,711.39
  5. Step 5: Solve for x
    x = 468,711.39/624.63
  6. Step 6: Final answer
    x = 750.39

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.