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Finding the Third Proportional to 277,239 and 593,839.50

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Solution

The third proportional to 277,239 and 593,839.50 is: 1,271,990.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,239 : 593,839.50 = 593,839.50 : x
  2. Step 2: Convert to fraction form
    277,239/593,839.50 = 593,839.50/x
  3. Step 3: Cross multiply
    277,239x = 593,839.50 × 593,839.50
  4. Step 4: Simplify right side
    277,239x = 352,645,351,760.25
  5. Step 5: Solve for x
    x = 352,645,351,760.25/277,239
  6. Step 6: Final answer
    x = 1,271,990.42

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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.