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Finding the Third Proportional to 271,951.50 and 583,246.50

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Solution

The third proportional to 271,951.50 and 583,246.50 is: 1,250,871.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,951.50 : 583,246.50 = 583,246.50 : x
  2. Step 2: Convert to fraction form
    271,951.50/583,246.50 = 583,246.50/x
  3. Step 3: Cross multiply
    271,951.50x = 583,246.50 × 583,246.50
  4. Step 4: Simplify right side
    271,951.50x = 340,176,479,762.25
  5. Step 5: Solve for x
    x = 340,176,479,762.25/271,951.50
  6. Step 6: Final answer
    x = 1,250,871.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.