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Finding the Third Proportional to 277,978.50 and 606,930

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Solution

The third proportional to 277,978.50 and 606,930 is: 1,325,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,978.50 : 606,930 = 606,930 : x
  2. Step 2: Convert to fraction form
    277,978.50/606,930 = 606,930/x
  3. Step 3: Cross multiply
    277,978.50x = 606,930 × 606,930
  4. Step 4: Simplify right side
    277,978.50x = 368,364,024,900
  5. Step 5: Solve for x
    x = 368,364,024,900/277,978.50
  6. Step 6: Final answer
    x = 1,325,152.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.