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Finding the Third Proportional to 590.34 and 1,292.91

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Solution

The third proportional to 590.34 and 1,292.91 is: 2,831.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.34 : 1,292.91 = 1,292.91 : x
  2. Step 2: Convert to fraction form
    590.34/1,292.91 = 1,292.91/x
  3. Step 3: Cross multiply
    590.34x = 1,292.91 × 1,292.91
  4. Step 4: Simplify right side
    590.34x = 1,671,606.57
  5. Step 5: Solve for x
    x = 1,671,606.57/590.34
  6. Step 6: Final answer
    x = 2,831.58

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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.