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Finding the Third Proportional to 693.47 and 1,502.25

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Solution

The third proportional to 693.47 and 1,502.25 is: 3,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.47 : 1,502.25 = 1,502.25 : x
  2. Step 2: Convert to fraction form
    693.47/1,502.25 = 1,502.25/x
  3. Step 3: Cross multiply
    693.47x = 1,502.25 × 1,502.25
  4. Step 4: Simplify right side
    693.47x = 2,256,755.06
  5. Step 5: Solve for x
    x = 2,256,755.06/693.47
  6. Step 6: Final answer
    x = 3,254.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.