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Finding the Third Proportional to 254,244.75 and 384,647.25

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Solution

The third proportional to 254,244.75 and 384,647.25 is: 581,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,244.75 : 384,647.25 = 384,647.25 : x
  2. Step 2: Convert to fraction form
    254,244.75/384,647.25 = 384,647.25/x
  3. Step 3: Cross multiply
    254,244.75x = 384,647.25 × 384,647.25
  4. Step 4: Simplify right side
    254,244.75x = 147,953,506,932.56
  5. Step 5: Solve for x
    x = 147,953,506,932.56/254,244.75
  6. Step 6: Final answer
    x = 581,933.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.