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Finding the Third Proportional to 593.26 and 1,300.82

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Solution

The third proportional to 593.26 and 1,300.82 is: 2,852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.26 : 1,300.82 = 1,300.82 : x
  2. Step 2: Convert to fraction form
    593.26/1,300.82 = 1,300.82/x
  3. Step 3: Cross multiply
    593.26x = 1,300.82 × 1,300.82
  4. Step 4: Simplify right side
    593.26x = 1,692,123.32
  5. Step 5: Solve for x
    x = 1,692,123.32/593.26
  6. Step 6: Final answer
    x = 2,852.24

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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.