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Finding the Third Proportional to 210,449.50 and 462,956

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Solution

The third proportional to 210,449.50 and 462,956 is: 1,018,430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,449.50 : 462,956 = 462,956 : x
  2. Step 2: Convert to fraction form
    210,449.50/462,956 = 462,956/x
  3. Step 3: Cross multiply
    210,449.50x = 462,956 × 462,956
  4. Step 4: Simplify right side
    210,449.50x = 214,328,257,936
  5. Step 5: Solve for x
    x = 214,328,257,936/210,449.50
  6. Step 6: Final answer
    x = 1,018,430.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.