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Finding the Third Proportional to 510,618.94 and 741,985.31

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Solution

The third proportional to 510,618.94 and 741,985.31 is: 1,078,186.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,618.94 : 741,985.31 = 741,985.31 : x
  2. Step 2: Convert to fraction form
    510,618.94/741,985.31 = 741,985.31/x
  3. Step 3: Cross multiply
    510,618.94x = 741,985.31 × 741,985.31
  4. Step 4: Simplify right side
    510,618.94x = 550,542,203,965.72
  5. Step 5: Solve for x
    x = 550,542,203,965.72/510,618.94
  6. Step 6: Final answer
    x = 1,078,186.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.