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Finding the Third Proportional to 451,273.50 and 980,355

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Solution

The third proportional to 451,273.50 and 980,355 is: 2,129,741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,273.50 : 980,355 = 980,355 : x
  2. Step 2: Convert to fraction form
    451,273.50/980,355 = 980,355/x
  3. Step 3: Cross multiply
    451,273.50x = 980,355 × 980,355
  4. Step 4: Simplify right side
    451,273.50x = 961,095,926,025
  5. Step 5: Solve for x
    x = 961,095,926,025/451,273.50
  6. Step 6: Final answer
    x = 2,129,741.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.