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Finding the Third Proportional to 670.81 and 1,036.63

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Solution

The third proportional to 670.81 and 1,036.63 is: 1,601.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.81 : 1,036.63 = 1,036.63 : x
  2. Step 2: Convert to fraction form
    670.81/1,036.63 = 1,036.63/x
  3. Step 3: Cross multiply
    670.81x = 1,036.63 × 1,036.63
  4. Step 4: Simplify right side
    670.81x = 1,074,591.39
  5. Step 5: Solve for x
    x = 1,074,591.39/670.81
  6. Step 6: Final answer
    x = 1,601.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.