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Finding the Third Proportional to 277,150.99 and 596,999.74

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Solution

The third proportional to 277,150.99 and 596,999.74 is: 1,285,973.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,150.99 : 596,999.74 = 596,999.74 : x
  2. Step 2: Convert to fraction form
    277,150.99/596,999.74 = 596,999.74/x
  3. Step 3: Cross multiply
    277,150.99x = 596,999.74 × 596,999.74
  4. Step 4: Simplify right side
    277,150.99x = 356,408,692,171.94
  5. Step 5: Solve for x
    x = 356,408,692,171.94/277,150.99
  6. Step 6: Final answer
    x = 1,285,973.00

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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.