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Finding the Third Proportional to 1,305 and 1,497

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Solution

The third proportional to 1,305 and 1,497 is: 1,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305 : 1,497 = 1,497 : x
  2. Step 2: Convert to fraction form
    1,305/1,497 = 1,497/x
  3. Step 3: Cross multiply
    1,305x = 1,497 × 1,497
  4. Step 4: Simplify right side
    1,305x = 2,241,009
  5. Step 5: Solve for x
    x = 2,241,009/1,305
  6. Step 6: Final answer
    x = 1,717.25

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.