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Finding the Third Proportional to 229,398.50 and 505,452.75

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Solution

The third proportional to 229,398.50 and 505,452.75 is: 1,113,705.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,398.50 : 505,452.75 = 505,452.75 : x
  2. Step 2: Convert to fraction form
    229,398.50/505,452.75 = 505,452.75/x
  3. Step 3: Cross multiply
    229,398.50x = 505,452.75 × 505,452.75
  4. Step 4: Simplify right side
    229,398.50x = 255,482,482,482.56
  5. Step 5: Solve for x
    x = 255,482,482,482.56/229,398.50
  6. Step 6: Final answer
    x = 1,113,705.99

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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.