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Finding the Third Proportional to 368,125 and 769,601

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Solution

The third proportional to 368,125 and 769,601 is: 1,608,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,125 : 769,601 = 769,601 : x
  2. Step 2: Convert to fraction form
    368,125/769,601 = 769,601/x
  3. Step 3: Cross multiply
    368,125x = 769,601 × 769,601
  4. Step 4: Simplify right side
    368,125x = 592,285,699,201
  5. Step 5: Solve for x
    x = 592,285,699,201/368,125
  6. Step 6: Final answer
    x = 1,608,925.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.