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Finding the Third Proportional to 319,752.56 and 693,289.13

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Solution

The third proportional to 319,752.56 and 693,289.13 is: 1,503,192.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,752.56 : 693,289.13 = 693,289.13 : x
  2. Step 2: Convert to fraction form
    319,752.56/693,289.13 = 693,289.13/x
  3. Step 3: Cross multiply
    319,752.56x = 693,289.13 × 693,289.13
  4. Step 4: Simplify right side
    319,752.56x = 480,649,810,843.27
  5. Step 5: Solve for x
    x = 480,649,810,843.27/319,752.56
  6. Step 6: Final answer
    x = 1,503,192.99

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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.