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Finding the Third Proportional to 319,987 and 685,517

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Solution

The third proportional to 319,987 and 685,517 is: 1,468,602.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,987 : 685,517 = 685,517 : x
  2. Step 2: Convert to fraction form
    319,987/685,517 = 685,517/x
  3. Step 3: Cross multiply
    319,987x = 685,517 × 685,517
  4. Step 4: Simplify right side
    319,987x = 469,933,557,289
  5. Step 5: Solve for x
    x = 469,933,557,289/319,987
  6. Step 6: Final answer
    x = 1,468,602.03

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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.