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Finding the Third Proportional to 277,243.50 and 583,467

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Solution

The third proportional to 277,243.50 and 583,467 is: 1,227,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,243.50 : 583,467 = 583,467 : x
  2. Step 2: Convert to fraction form
    277,243.50/583,467 = 583,467/x
  3. Step 3: Cross multiply
    277,243.50x = 583,467 × 583,467
  4. Step 4: Simplify right side
    277,243.50x = 340,433,740,089
  5. Step 5: Solve for x
    x = 340,433,740,089/277,243.50
  6. Step 6: Final answer
    x = 1,227,923.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.