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Finding the Third Proportional to 277,236 and 564,520.50

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Solution

The third proportional to 277,236 and 564,520.50 is: 1,149,502.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,236 : 564,520.50 = 564,520.50 : x
  2. Step 2: Convert to fraction form
    277,236/564,520.50 = 564,520.50/x
  3. Step 3: Cross multiply
    277,236x = 564,520.50 × 564,520.50
  4. Step 4: Simplify right side
    277,236x = 318,683,394,920.25
  5. Step 5: Solve for x
    x = 318,683,394,920.25/277,236
  6. Step 6: Final answer
    x = 1,149,502.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.