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Finding the Third Proportional to 593.81 and 1,302.38

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Solution

The third proportional to 593.81 and 1,302.38 is: 2,856.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.81 : 1,302.38 = 1,302.38 : x
  2. Step 2: Convert to fraction form
    593.81/1,302.38 = 1,302.38/x
  3. Step 3: Cross multiply
    593.81x = 1,302.38 × 1,302.38
  4. Step 4: Simplify right side
    593.81x = 1,696,180.64
  5. Step 5: Solve for x
    x = 1,696,180.64/593.81
  6. Step 6: Final answer
    x = 2,856.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.