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Finding the Third Proportional to 277,494.75 and 594,357.75

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Solution

The third proportional to 277,494.75 and 594,357.75 is: 1,273,037.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,494.75 : 594,357.75 = 594,357.75 : x
  2. Step 2: Convert to fraction form
    277,494.75/594,357.75 = 594,357.75/x
  3. Step 3: Cross multiply
    277,494.75x = 594,357.75 × 594,357.75
  4. Step 4: Simplify right side
    277,494.75x = 353,261,134,985.06
  5. Step 5: Solve for x
    x = 353,261,134,985.06/277,494.75
  6. Step 6: Final answer
    x = 1,273,037.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.