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Finding the Third Proportional to 320,501.25 and 683,907.75

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Solution

The third proportional to 320,501.25 and 683,907.75 is: 1,459,369.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,501.25 : 683,907.75 = 683,907.75 : x
  2. Step 2: Convert to fraction form
    320,501.25/683,907.75 = 683,907.75/x
  3. Step 3: Cross multiply
    320,501.25x = 683,907.75 × 683,907.75
  4. Step 4: Simplify right side
    320,501.25x = 467,729,810,510.06
  5. Step 5: Solve for x
    x = 467,729,810,510.06/320,501.25
  6. Step 6: Final answer
    x = 1,459,369.69

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.