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Finding the Third Proportional to 512,242.31 and 751,755.94

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Solution

The third proportional to 512,242.31 and 751,755.94 is: 1,103,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,242.31 : 751,755.94 = 751,755.94 : x
  2. Step 2: Convert to fraction form
    512,242.31/751,755.94 = 751,755.94/x
  3. Step 3: Cross multiply
    512,242.31x = 751,755.94 × 751,755.94
  4. Step 4: Simplify right side
    512,242.31x = 565,136,989,566.50
  5. Step 5: Solve for x
    x = 565,136,989,566.50/512,242.31
  6. Step 6: Final answer
    x = 1,103,261.05

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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.