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Finding the Third Proportional to 277,123.50 and 596,979

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Solution

The third proportional to 277,123.50 and 596,979 is: 1,286,011.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,123.50 : 596,979 = 596,979 : x
  2. Step 2: Convert to fraction form
    277,123.50/596,979 = 596,979/x
  3. Step 3: Cross multiply
    277,123.50x = 596,979 × 596,979
  4. Step 4: Simplify right side
    277,123.50x = 356,383,926,441
  5. Step 5: Solve for x
    x = 356,383,926,441/277,123.50
  6. Step 6: Final answer
    x = 1,286,011.21

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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.