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Finding the Third Proportional to 350,584.22 and 501,291.80

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Solution

The third proportional to 350,584.22 and 501,291.80 is: 716,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,584.22 : 501,291.80 = 501,291.80 : x
  2. Step 2: Convert to fraction form
    350,584.22/501,291.80 = 501,291.80/x
  3. Step 3: Cross multiply
    350,584.22x = 501,291.80 × 501,291.80
  4. Step 4: Simplify right side
    350,584.22x = 251,293,464,145.54
  5. Step 5: Solve for x
    x = 251,293,464,145.54/350,584.22
  6. Step 6: Final answer
    x = 716,784.88

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.