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Finding the Third Proportional to 277,749.84 and 597,637.41

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Solution

The third proportional to 277,749.84 and 597,637.41 is: 1,285,943.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,749.84 : 597,637.41 = 597,637.41 : x
  2. Step 2: Convert to fraction form
    277,749.84/597,637.41 = 597,637.41/x
  3. Step 3: Cross multiply
    277,749.84x = 597,637.41 × 597,637.41
  4. Step 4: Simplify right side
    277,749.84x = 357,170,469,349.23
  5. Step 5: Solve for x
    x = 357,170,469,349.23/277,749.84
  6. Step 6: Final answer
    x = 1,285,943.01

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