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Finding the Third Proportional to 305.65 and 662.55

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Solution

The third proportional to 305.65 and 662.55 is: 1,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.65 : 662.55 = 662.55 : x
  2. Step 2: Convert to fraction form
    305.65/662.55 = 662.55/x
  3. Step 3: Cross multiply
    305.65x = 662.55 × 662.55
  4. Step 4: Simplify right side
    305.65x = 438,978.71
  5. Step 5: Solve for x
    x = 438,978.71/305.65
  6. Step 6: Final answer
    x = 1,436.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.