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Finding the Third Proportional to 412.59 and 617.63

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Solution

The third proportional to 412.59 and 617.63 is: 924.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.59 : 617.63 = 617.63 : x
  2. Step 2: Convert to fraction form
    412.59/617.63 = 617.63/x
  3. Step 3: Cross multiply
    412.59x = 617.63 × 617.63
  4. Step 4: Simplify right side
    412.59x = 381,460.64
  5. Step 5: Solve for x
    x = 381,460.64/412.59
  6. Step 6: Final answer
    x = 924.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.