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Finding the Third Proportional to 319,914.56 and 740,615.06

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Solution

The third proportional to 319,914.56 and 740,615.06 is: 1,714,553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,914.56 : 740,615.06 = 740,615.06 : x
  2. Step 2: Convert to fraction form
    319,914.56/740,615.06 = 740,615.06/x
  3. Step 3: Cross multiply
    319,914.56x = 740,615.06 × 740,615.06
  4. Step 4: Simplify right side
    319,914.56x = 548,510,670,801.88
  5. Step 5: Solve for x
    x = 548,510,670,801.88/319,914.56
  6. Step 6: Final answer
    x = 1,714,553.62

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.