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Finding the Third Proportional to 590.63 and 845.44

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Solution

The third proportional to 590.63 and 845.44 is: 1,210.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.63 : 845.44 = 845.44 : x
  2. Step 2: Convert to fraction form
    590.63/845.44 = 845.44/x
  3. Step 3: Cross multiply
    590.63x = 845.44 × 845.44
  4. Step 4: Simplify right side
    590.63x = 714,764.57
  5. Step 5: Solve for x
    x = 714,764.57/590.63
  6. Step 6: Final answer
    x = 1,210.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.