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Finding the Third Proportional to 505.38 and 1,036.63

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Solution

The third proportional to 505.38 and 1,036.63 is: 2,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.38 : 1,036.63 = 1,036.63 : x
  2. Step 2: Convert to fraction form
    505.38/1,036.63 = 1,036.63/x
  3. Step 3: Cross multiply
    505.38x = 1,036.63 × 1,036.63
  4. Step 4: Simplify right side
    505.38x = 1,074,591.39
  5. Step 5: Solve for x
    x = 1,074,591.39/505.38
  6. Step 6: Final answer
    x = 2,126.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.