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Finding the Third Proportional to 319,989 and 691,284

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Solution

The third proportional to 319,989 and 691,284 is: 1,493,406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,989 : 691,284 = 691,284 : x
  2. Step 2: Convert to fraction form
    319,989/691,284 = 691,284/x
  3. Step 3: Cross multiply
    319,989x = 691,284 × 691,284
  4. Step 4: Simplify right side
    319,989x = 477,873,568,656
  5. Step 5: Solve for x
    x = 477,873,568,656/319,989
  6. Step 6: Final answer
    x = 1,493,406.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.