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Finding the Third Proportional to 194,462 and 467,929.50

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Solution

The third proportional to 194,462 and 467,929.50 is: 1,125,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,462 : 467,929.50 = 467,929.50 : x
  2. Step 2: Convert to fraction form
    194,462/467,929.50 = 467,929.50/x
  3. Step 3: Cross multiply
    194,462x = 467,929.50 × 467,929.50
  4. Step 4: Simplify right side
    194,462x = 218,958,016,970.25
  5. Step 5: Solve for x
    x = 218,958,016,970.25/194,462
  6. Step 6: Final answer
    x = 1,125,968.14

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.