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Finding the Third Proportional to 229,644 and 504,121.50

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Solution

The third proportional to 229,644 and 504,121.50 is: 1,106,662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,644 : 504,121.50 = 504,121.50 : x
  2. Step 2: Convert to fraction form
    229,644/504,121.50 = 504,121.50/x
  3. Step 3: Cross multiply
    229,644x = 504,121.50 × 504,121.50
  4. Step 4: Simplify right side
    229,644x = 254,138,486,762.25
  5. Step 5: Solve for x
    x = 254,138,486,762.25/229,644
  6. Step 6: Final answer
    x = 1,106,662.86

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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.