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Finding the Third Proportional to 264.63 and 609.88

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Solution

The third proportional to 264.63 and 609.88 is: 1,405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.63 : 609.88 = 609.88 : x
  2. Step 2: Convert to fraction form
    264.63/609.88 = 609.88/x
  3. Step 3: Cross multiply
    264.63x = 609.88 × 609.88
  4. Step 4: Simplify right side
    264.63x = 371,947.52
  5. Step 5: Solve for x
    x = 371,947.52/264.63
  6. Step 6: Final answer
    x = 1,405.56

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.