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Finding the Third Proportional to 319,915.13 and 691,133.63

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Solution

The third proportional to 319,915.13 and 691,133.63 is: 1,493,101.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,915.13 : 691,133.63 = 691,133.63 : x
  2. Step 2: Convert to fraction form
    319,915.13/691,133.63 = 691,133.63/x
  3. Step 3: Cross multiply
    319,915.13x = 691,133.63 × 691,133.63
  4. Step 4: Simplify right side
    319,915.13x = 477,665,687,605.64
  5. Step 5: Solve for x
    x = 477,665,687,605.64/319,915.13
  6. Step 6: Final answer
    x = 1,493,101.30

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