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Finding the Third Proportional to 319,985.75 and 685,513.75

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Solution

The third proportional to 319,985.75 and 685,513.75 is: 1,468,593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,985.75 : 685,513.75 = 685,513.75 : x
  2. Step 2: Convert to fraction form
    319,985.75/685,513.75 = 685,513.75/x
  3. Step 3: Cross multiply
    319,985.75x = 685,513.75 × 685,513.75
  4. Step 4: Simplify right side
    319,985.75x = 469,929,101,439.06
  5. Step 5: Solve for x
    x = 469,929,101,439.06/319,985.75
  6. Step 6: Final answer
    x = 1,468,593.84

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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.