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Finding the Third Proportional to 277,298.50 and 567,740

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Solution

The third proportional to 277,298.50 and 567,740 is: 1,162,388.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,298.50 : 567,740 = 567,740 : x
  2. Step 2: Convert to fraction form
    277,298.50/567,740 = 567,740/x
  3. Step 3: Cross multiply
    277,298.50x = 567,740 × 567,740
  4. Step 4: Simplify right side
    277,298.50x = 322,328,707,600
  5. Step 5: Solve for x
    x = 322,328,707,600/277,298.50
  6. Step 6: Final answer
    x = 1,162,388.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.