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Finding the Third Proportional to 277,077.80 and 596,898.70

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Solution

The third proportional to 277,077.80 and 596,898.70 is: 1,285,877.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,077.80 : 596,898.70 = 596,898.70 : x
  2. Step 2: Convert to fraction form
    277,077.80/596,898.70 = 596,898.70/x
  3. Step 3: Cross multiply
    277,077.80x = 596,898.70 × 596,898.70
  4. Step 4: Simplify right side
    277,077.80x = 356,288,061,792.31
  5. Step 5: Solve for x
    x = 356,288,061,792.31/277,077.80
  6. Step 6: Final answer
    x = 1,285,877.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.