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Finding the Third Proportional to 229,094 and 503,356

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Solution

The third proportional to 229,094 and 503,356 is: 1,105,953.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,094 : 503,356 = 503,356 : x
  2. Step 2: Convert to fraction form
    229,094/503,356 = 503,356/x
  3. Step 3: Cross multiply
    229,094x = 503,356 × 503,356
  4. Step 4: Simplify right side
    229,094x = 253,367,262,736
  5. Step 5: Solve for x
    x = 253,367,262,736/229,094
  6. Step 6: Final answer
    x = 1,105,953.29

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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.