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Finding the Third Proportional to 287.02 and 625.27

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Solution

The third proportional to 287.02 and 625.27 is: 1,362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.02 : 625.27 = 625.27 : x
  2. Step 2: Convert to fraction form
    287.02/625.27 = 625.27/x
  3. Step 3: Cross multiply
    287.02x = 625.27 × 625.27
  4. Step 4: Simplify right side
    287.02x = 390,957.10
  5. Step 5: Solve for x
    x = 390,957.10/287.02
  6. Step 6: Final answer
    x = 1,362.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.