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Finding the Third Proportional to 319,981.50 and 687,448.50

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Solution

The third proportional to 319,981.50 and 687,448.50 is: 1,476,914.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,981.50 : 687,448.50 = 687,448.50 : x
  2. Step 2: Convert to fraction form
    319,981.50/687,448.50 = 687,448.50/x
  3. Step 3: Cross multiply
    319,981.50x = 687,448.50 × 687,448.50
  4. Step 4: Simplify right side
    319,981.50x = 472,585,440,152.25
  5. Step 5: Solve for x
    x = 472,585,440,152.25/319,981.50
  6. Step 6: Final answer
    x = 1,476,914.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.