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Finding the Third Proportional to 214,690.50 and 494,583

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Solution

The third proportional to 214,690.50 and 494,583 is: 1,139,372.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,690.50 : 494,583 = 494,583 : x
  2. Step 2: Convert to fraction form
    214,690.50/494,583 = 494,583/x
  3. Step 3: Cross multiply
    214,690.50x = 494,583 × 494,583
  4. Step 4: Simplify right side
    214,690.50x = 244,612,343,889
  5. Step 5: Solve for x
    x = 244,612,343,889/214,690.50
  6. Step 6: Final answer
    x = 1,139,372.00

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.