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Finding the Third Proportional to 350,979.33 and 501,546.30

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Solution

The third proportional to 350,979.33 and 501,546.30 is: 716,705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,979.33 : 501,546.30 = 501,546.30 : x
  2. Step 2: Convert to fraction form
    350,979.33/501,546.30 = 501,546.30/x
  3. Step 3: Cross multiply
    350,979.33x = 501,546.30 × 501,546.30
  4. Step 4: Simplify right side
    350,979.33x = 251,548,695,745.69
  5. Step 5: Solve for x
    x = 251,548,695,745.69/350,979.33
  6. Step 6: Final answer
    x = 716,705.16

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Why These Related Problems?

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