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Finding the Third Proportional to 512,241.47 and 751,766.06

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Solution

The third proportional to 512,241.47 and 751,766.06 is: 1,103,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,241.47 : 751,766.06 = 751,766.06 : x
  2. Step 2: Convert to fraction form
    512,241.47/751,766.06 = 751,766.06/x
  3. Step 3: Cross multiply
    512,241.47x = 751,766.06 × 751,766.06
  4. Step 4: Simplify right side
    512,241.47x = 565,152,212,726.75
  5. Step 5: Solve for x
    x = 565,152,212,726.75/512,241.47
  6. Step 6: Final answer
    x = 1,103,292.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.