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Finding the Third Proportional to 289.51 and 630.28

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Solution

The third proportional to 289.51 and 630.28 is: 1,372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.51 : 630.28 = 630.28 : x
  2. Step 2: Convert to fraction form
    289.51/630.28 = 630.28/x
  3. Step 3: Cross multiply
    289.51x = 630.28 × 630.28
  4. Step 4: Simplify right side
    289.51x = 397,254.45
  5. Step 5: Solve for x
    x = 397,254.45/289.51
  6. Step 6: Final answer
    x = 1,372.15

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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.