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Finding the Third Proportional to 254,904 and 561,252

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Solution

The third proportional to 254,904 and 561,252 is: 1,235,774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,904 : 561,252 = 561,252 : x
  2. Step 2: Convert to fraction form
    254,904/561,252 = 561,252/x
  3. Step 3: Cross multiply
    254,904x = 561,252 × 561,252
  4. Step 4: Simplify right side
    254,904x = 315,003,807,504
  5. Step 5: Solve for x
    x = 315,003,807,504/254,904
  6. Step 6: Final answer
    x = 1,235,774.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.