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Finding the Third Proportional to 214,974 and 322,423.03

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Solution

The third proportional to 214,974 and 322,423.03 is: 483,577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,974 : 322,423.03 = 322,423.03 : x
  2. Step 2: Convert to fraction form
    214,974/322,423.03 = 322,423.03/x
  3. Step 3: Cross multiply
    214,974x = 322,423.03 × 322,423.03
  4. Step 4: Simplify right side
    214,974x = 103,956,611,080.44
  5. Step 5: Solve for x
    x = 103,956,611,080.44/214,974
  6. Step 6: Final answer
    x = 483,577.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.