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Finding the Third Proportional to 210,213.75 and 493,509.75

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Solution

The third proportional to 210,213.75 and 493,509.75 is: 1,158,591.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,213.75 : 493,509.75 = 493,509.75 : x
  2. Step 2: Convert to fraction form
    210,213.75/493,509.75 = 493,509.75/x
  3. Step 3: Cross multiply
    210,213.75x = 493,509.75 × 493,509.75
  4. Step 4: Simplify right side
    210,213.75x = 243,551,873,345.06
  5. Step 5: Solve for x
    x = 243,551,873,345.06/210,213.75
  6. Step 6: Final answer
    x = 1,158,591.54

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.