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Finding the Third Proportional to 271,439.44 and 587,558.81

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Solution

The third proportional to 271,439.44 and 587,558.81 is: 1,271,831.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,439.44 : 587,558.81 = 587,558.81 : x
  2. Step 2: Convert to fraction form
    271,439.44/587,558.81 = 587,558.81/x
  3. Step 3: Cross multiply
    271,439.44x = 587,558.81 × 587,558.81
  4. Step 4: Simplify right side
    271,439.44x = 345,225,358,146.41
  5. Step 5: Solve for x
    x = 345,225,358,146.41/271,439.44
  6. Step 6: Final answer
    x = 1,271,831.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.