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Finding the Third Proportional to 336,569 and 505,097

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Solution

The third proportional to 336,569 and 505,097 is: 758,010.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,569 : 505,097 = 505,097 : x
  2. Step 2: Convert to fraction form
    336,569/505,097 = 505,097/x
  3. Step 3: Cross multiply
    336,569x = 505,097 × 505,097
  4. Step 4: Simplify right side
    336,569x = 255,122,979,409
  5. Step 5: Solve for x
    x = 255,122,979,409/336,569
  6. Step 6: Final answer
    x = 758,010.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.