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Finding the Third Proportional to 319,141.88 and 691,473.75

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Solution

The third proportional to 319,141.88 and 691,473.75 is: 1,498,192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,141.88 : 691,473.75 = 691,473.75 : x
  2. Step 2: Convert to fraction form
    319,141.88/691,473.75 = 691,473.75/x
  3. Step 3: Cross multiply
    319,141.88x = 691,473.75 × 691,473.75
  4. Step 4: Simplify right side
    319,141.88x = 478,135,946,939.06
  5. Step 5: Solve for x
    x = 478,135,946,939.06/319,141.88
  6. Step 6: Final answer
    x = 1,498,192.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.