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Finding the Third Proportional to 231,844.78 and 488,597.06

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Solution

The third proportional to 231,844.78 and 488,597.06 is: 1,029,684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,844.78 : 488,597.06 = 488,597.06 : x
  2. Step 2: Convert to fraction form
    231,844.78/488,597.06 = 488,597.06/x
  3. Step 3: Cross multiply
    231,844.78x = 488,597.06 × 488,597.06
  4. Step 4: Simplify right side
    231,844.78x = 238,727,089,483.63
  5. Step 5: Solve for x
    x = 238,727,089,483.63/231,844.78
  6. Step 6: Final answer
    x = 1,029,684.98

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.