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Finding the Third Proportional to 277,092 and 596,930.63

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Solution

The third proportional to 277,092 and 596,930.63 is: 1,285,948.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,092 : 596,930.63 = 596,930.63 : x
  2. Step 2: Convert to fraction form
    277,092/596,930.63 = 596,930.63/x
  3. Step 3: Cross multiply
    277,092x = 596,930.63 × 596,930.63
  4. Step 4: Simplify right side
    277,092x = 356,326,171,062.89
  5. Step 5: Solve for x
    x = 356,326,171,062.89/277,092
  6. Step 6: Final answer
    x = 1,285,948.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.