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Finding the Third Proportional to 251.02 and 623.60

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Solution

The third proportional to 251.02 and 623.60 is: 1,549.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.02 : 623.60 = 623.60 : x
  2. Step 2: Convert to fraction form
    251.02/623.60 = 623.60/x
  3. Step 3: Cross multiply
    251.02x = 623.60 × 623.60
  4. Step 4: Simplify right side
    251.02x = 388,878.91
  5. Step 5: Solve for x
    x = 388,878.91/251.02
  6. Step 6: Final answer
    x = 1,549.22

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.