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Finding the Third Proportional to 623.64 and 1,295.68

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Solution

The third proportional to 623.64 and 1,295.68 is: 2,691.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.64 : 1,295.68 = 1,295.68 : x
  2. Step 2: Convert to fraction form
    623.64/1,295.68 = 1,295.68/x
  3. Step 3: Cross multiply
    623.64x = 1,295.68 × 1,295.68
  4. Step 4: Simplify right side
    623.64x = 1,678,795.98
  5. Step 5: Solve for x
    x = 1,678,795.98/623.64
  6. Step 6: Final answer
    x = 2,691.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.