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Finding the Third Proportional to 277,384.50 and 619,285.50

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Solution

The third proportional to 277,384.50 and 619,285.50 is: 1,382,609.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,384.50 : 619,285.50 = 619,285.50 : x
  2. Step 2: Convert to fraction form
    277,384.50/619,285.50 = 619,285.50/x
  3. Step 3: Cross multiply
    277,384.50x = 619,285.50 × 619,285.50
  4. Step 4: Simplify right side
    277,384.50x = 383,514,530,510.25
  5. Step 5: Solve for x
    x = 383,514,530,510.25/277,384.50
  6. Step 6: Final answer
    x = 1,382,609.81

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.