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Finding the Third Proportional to 289 and 607

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Solution

The third proportional to 289 and 607 is: 1,274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289 : 607 = 607 : x
  2. Step 2: Convert to fraction form
    289/607 = 607/x
  3. Step 3: Cross multiply
    289x = 607 × 607
  4. Step 4: Simplify right side
    289x = 368,449
  5. Step 5: Solve for x
    x = 368,449/289
  6. Step 6: Final answer
    x = 1,274.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.