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Finding the Third Proportional to 277,295.63 and 596,622.75

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Solution

The third proportional to 277,295.63 and 596,622.75 is: 1,283,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,295.63 : 596,622.75 = 596,622.75 : x
  2. Step 2: Convert to fraction form
    277,295.63/596,622.75 = 596,622.75/x
  3. Step 3: Cross multiply
    277,295.63x = 596,622.75 × 596,622.75
  4. Step 4: Simplify right side
    277,295.63x = 355,958,705,817.56
  5. Step 5: Solve for x
    x = 355,958,705,817.56/277,295.63
  6. Step 6: Final answer
    x = 1,283,679.49

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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.