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Finding the Third Proportional to 223,000.50 and 480,993

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Solution

The third proportional to 223,000.50 and 480,993 is: 1,037,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,000.50 : 480,993 = 480,993 : x
  2. Step 2: Convert to fraction form
    223,000.50/480,993 = 480,993/x
  3. Step 3: Cross multiply
    223,000.50x = 480,993 × 480,993
  4. Step 4: Simplify right side
    223,000.50x = 231,354,266,049
  5. Step 5: Solve for x
    x = 231,354,266,049/223,000.50
  6. Step 6: Final answer
    x = 1,037,460.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.