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Finding the Third Proportional to 625.22 and 1,460.53

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Solution

The third proportional to 625.22 and 1,460.53 is: 3,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.22 : 1,460.53 = 1,460.53 : x
  2. Step 2: Convert to fraction form
    625.22/1,460.53 = 1,460.53/x
  3. Step 3: Cross multiply
    625.22x = 1,460.53 × 1,460.53
  4. Step 4: Simplify right side
    625.22x = 2,133,151.53
  5. Step 5: Solve for x
    x = 2,133,151.53/625.22
  6. Step 6: Final answer
    x = 3,411.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.