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Finding the Third Proportional to 451,301.63 and 980,403.75

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Solution

The third proportional to 451,301.63 and 980,403.75 is: 2,129,820.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,301.63 : 980,403.75 = 980,403.75 : x
  2. Step 2: Convert to fraction form
    451,301.63/980,403.75 = 980,403.75/x
  3. Step 3: Cross multiply
    451,301.63x = 980,403.75 × 980,403.75
  4. Step 4: Simplify right side
    451,301.63x = 961,191,513,014.06
  5. Step 5: Solve for x
    x = 961,191,513,014.06/451,301.63
  6. Step 6: Final answer
    x = 2,129,820.63

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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.