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Finding the Third Proportional to 590.10 and 1,292.20

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Solution

The third proportional to 590.10 and 1,292.20 is: 2,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.10 : 1,292.20 = 1,292.20 : x
  2. Step 2: Convert to fraction form
    590.10/1,292.20 = 1,292.20/x
  3. Step 3: Cross multiply
    590.10x = 1,292.20 × 1,292.20
  4. Step 4: Simplify right side
    590.10x = 1,669,788.92
  5. Step 5: Solve for x
    x = 1,669,788.92/590.10
  6. Step 6: Final answer
    x = 2,829.68

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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.