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Finding the Third Proportional to 350,659.13 and 512,866.69

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Solution

The third proportional to 350,659.13 and 512,866.69 is: 750,108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,659.13 : 512,866.69 = 512,866.69 : x
  2. Step 2: Convert to fraction form
    350,659.13/512,866.69 = 512,866.69/x
  3. Step 3: Cross multiply
    350,659.13x = 512,866.69 × 512,866.69
  4. Step 4: Simplify right side
    350,659.13x = 263,032,239,147.22
  5. Step 5: Solve for x
    x = 263,032,239,147.22/350,659.13
  6. Step 6: Final answer
    x = 750,108.07

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.