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Finding the Third Proportional to 682.38 and 1,501.45

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Solution

The third proportional to 682.38 and 1,501.45 is: 3,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.38 : 1,501.45 = 1,501.45 : x
  2. Step 2: Convert to fraction form
    682.38/1,501.45 = 1,501.45/x
  3. Step 3: Cross multiply
    682.38x = 1,501.45 × 1,501.45
  4. Step 4: Simplify right side
    682.38x = 2,254,361.49
  5. Step 5: Solve for x
    x = 2,254,361.49/682.38
  6. Step 6: Final answer
    x = 3,303.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.