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Finding the Third Proportional to 319,551.75 and 683,391.09

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Solution

The third proportional to 319,551.75 and 683,391.09 is: 1,461,495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,551.75 : 683,391.09 = 683,391.09 : x
  2. Step 2: Convert to fraction form
    319,551.75/683,391.09 = 683,391.09/x
  3. Step 3: Cross multiply
    319,551.75x = 683,391.09 × 683,391.09
  4. Step 4: Simplify right side
    319,551.75x = 467,023,387,016.82
  5. Step 5: Solve for x
    x = 467,023,387,016.82/319,551.75
  6. Step 6: Final answer
    x = 1,461,495.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.