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Finding the Third Proportional to 229,718 and 504,700

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Solution

The third proportional to 229,718 and 504,700 is: 1,108,846.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,718 : 504,700 = 504,700 : x
  2. Step 2: Convert to fraction form
    229,718/504,700 = 504,700/x
  3. Step 3: Cross multiply
    229,718x = 504,700 × 504,700
  4. Step 4: Simplify right side
    229,718x = 254,722,090,000
  5. Step 5: Solve for x
    x = 254,722,090,000/229,718
  6. Step 6: Final answer
    x = 1,108,846.89

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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.