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Finding the Third Proportional to 271,831.50 and 576,549

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Solution

The third proportional to 271,831.50 and 576,549 is: 1,222,848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,831.50 : 576,549 = 576,549 : x
  2. Step 2: Convert to fraction form
    271,831.50/576,549 = 576,549/x
  3. Step 3: Cross multiply
    271,831.50x = 576,549 × 576,549
  4. Step 4: Simplify right side
    271,831.50x = 332,408,749,401
  5. Step 5: Solve for x
    x = 332,408,749,401/271,831.50
  6. Step 6: Final answer
    x = 1,222,848.53

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