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Finding the Third Proportional to 624.94 and 1,509.47

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Solution

The third proportional to 624.94 and 1,509.47 is: 3,645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.94 : 1,509.47 = 1,509.47 : x
  2. Step 2: Convert to fraction form
    624.94/1,509.47 = 1,509.47/x
  3. Step 3: Cross multiply
    624.94x = 1,509.47 × 1,509.47
  4. Step 4: Simplify right side
    624.94x = 2,278,495.91
  5. Step 5: Solve for x
    x = 2,278,495.91/624.94
  6. Step 6: Final answer
    x = 3,645.96

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.