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Finding the Third Proportional to 301,945.50 and 660,685.50

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Solution

The third proportional to 301,945.50 and 660,685.50 is: 1,445,642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,945.50 : 660,685.50 = 660,685.50 : x
  2. Step 2: Convert to fraction form
    301,945.50/660,685.50 = 660,685.50/x
  3. Step 3: Cross multiply
    301,945.50x = 660,685.50 × 660,685.50
  4. Step 4: Simplify right side
    301,945.50x = 436,505,329,910.25
  5. Step 5: Solve for x
    x = 436,505,329,910.25/301,945.50
  6. Step 6: Final answer
    x = 1,445,642.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.