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Finding the Third Proportional to 590.63 and 1,297.13

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Solution

The third proportional to 590.63 and 1,297.13 is: 2,848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.63 : 1,297.13 = 1,297.13 : x
  2. Step 2: Convert to fraction form
    590.63/1,297.13 = 1,297.13/x
  3. Step 3: Cross multiply
    590.63x = 1,297.13 × 1,297.13
  4. Step 4: Simplify right side
    590.63x = 1,682,533.27
  5. Step 5: Solve for x
    x = 1,682,533.27/590.63
  6. Step 6: Final answer
    x = 2,848.73

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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.