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Finding the Third Proportional to 233,322.75 and 628,519.50

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Solution

The third proportional to 233,322.75 and 628,519.50 is: 1,693,091.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,322.75 : 628,519.50 = 628,519.50 : x
  2. Step 2: Convert to fraction form
    233,322.75/628,519.50 = 628,519.50/x
  3. Step 3: Cross multiply
    233,322.75x = 628,519.50 × 628,519.50
  4. Step 4: Simplify right side
    233,322.75x = 395,036,761,880.25
  5. Step 5: Solve for x
    x = 395,036,761,880.25/233,322.75
  6. Step 6: Final answer
    x = 1,693,091.49

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.