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Finding the Third Proportional to 277,077.50 and 596,898.50

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Solution

The third proportional to 277,077.50 and 596,898.50 is: 1,285,877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,077.50 : 596,898.50 = 596,898.50 : x
  2. Step 2: Convert to fraction form
    277,077.50/596,898.50 = 596,898.50/x
  3. Step 3: Cross multiply
    277,077.50x = 596,898.50 × 596,898.50
  4. Step 4: Simplify right side
    277,077.50x = 356,287,819,302.25
  5. Step 5: Solve for x
    x = 356,287,819,302.25/277,077.50
  6. Step 6: Final answer
    x = 1,285,877.85

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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.