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Finding the Third Proportional to 255,656.25 and 378,563.63

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Solution

The third proportional to 255,656.25 and 378,563.63 is: 560,559.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,656.25 : 378,563.63 = 378,563.63 : x
  2. Step 2: Convert to fraction form
    255,656.25/378,563.63 = 378,563.63/x
  3. Step 3: Cross multiply
    255,656.25x = 378,563.63 × 378,563.63
  4. Step 4: Simplify right side
    255,656.25x = 143,310,418,173.14
  5. Step 5: Solve for x
    x = 143,310,418,173.14/255,656.25
  6. Step 6: Final answer
    x = 560,559.02

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.