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Finding the Third Proportional to 577.55 and 1,223.86

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Solution

The third proportional to 577.55 and 1,223.86 is: 2,593.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.55 : 1,223.86 = 1,223.86 : x
  2. Step 2: Convert to fraction form
    577.55/1,223.86 = 1,223.86/x
  3. Step 3: Cross multiply
    577.55x = 1,223.86 × 1,223.86
  4. Step 4: Simplify right side
    577.55x = 1,497,831.77
  5. Step 5: Solve for x
    x = 1,497,831.77/577.55
  6. Step 6: Final answer
    x = 2,593.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.