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Finding the Third Proportional to 298.13 and 623.53

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Solution

The third proportional to 298.13 and 623.53 is: 1,304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.13 : 623.53 = 623.53 : x
  2. Step 2: Convert to fraction form
    298.13/623.53 = 623.53/x
  3. Step 3: Cross multiply
    298.13x = 623.53 × 623.53
  4. Step 4: Simplify right side
    298.13x = 388,791.22
  5. Step 5: Solve for x
    x = 388,791.22/298.13
  6. Step 6: Final answer
    x = 1,304.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.