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Finding the Third Proportional to 277,427.53 and 596,954.81

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Solution

The third proportional to 277,427.53 and 596,954.81 is: 1,284,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,427.53 : 596,954.81 = 596,954.81 : x
  2. Step 2: Convert to fraction form
    277,427.53/596,954.81 = 596,954.81/x
  3. Step 3: Cross multiply
    277,427.53x = 596,954.81 × 596,954.81
  4. Step 4: Simplify right side
    277,427.53x = 356,355,048,166.91
  5. Step 5: Solve for x
    x = 356,355,048,166.91/277,427.53
  6. Step 6: Final answer
    x = 1,284,497.78

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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.