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Finding the Third Proportional to 590.56 and 1,271.94

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Solution

The third proportional to 590.56 and 1,271.94 is: 2,739.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.56 : 1,271.94 = 1,271.94 : x
  2. Step 2: Convert to fraction form
    590.56/1,271.94 = 1,271.94/x
  3. Step 3: Cross multiply
    590.56x = 1,271.94 × 1,271.94
  4. Step 4: Simplify right side
    590.56x = 1,617,825.00
  5. Step 5: Solve for x
    x = 1,617,825.00/590.56
  6. Step 6: Final answer
    x = 2,739.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.