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Finding the Third Proportional to 610 and 1,272

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Solution

The third proportional to 610 and 1,272 is: 2,652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    610 : 1,272 = 1,272 : x
  2. Step 2: Convert to fraction form
    610/1,272 = 1,272/x
  3. Step 3: Cross multiply
    610x = 1,272 × 1,272
  4. Step 4: Simplify right side
    610x = 1,617,984
  5. Step 5: Solve for x
    x = 1,617,984/610
  6. Step 6: Final answer
    x = 2,652.43

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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.