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Finding the Third Proportional to 254,086 and 501,745

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Solution

The third proportional to 254,086 and 501,745 is: 990,798.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,086 : 501,745 = 501,745 : x
  2. Step 2: Convert to fraction form
    254,086/501,745 = 501,745/x
  3. Step 3: Cross multiply
    254,086x = 501,745 × 501,745
  4. Step 4: Simplify right side
    254,086x = 251,748,045,025
  5. Step 5: Solve for x
    x = 251,748,045,025/254,086
  6. Step 6: Final answer
    x = 990,798.57

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.