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Finding the Third Proportional to 301,279.50 and 656,641.69

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Solution

The third proportional to 301,279.50 and 656,641.69 is: 1,431,157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,279.50 : 656,641.69 = 656,641.69 : x
  2. Step 2: Convert to fraction form
    301,279.50/656,641.69 = 656,641.69/x
  3. Step 3: Cross multiply
    301,279.50x = 656,641.69 × 656,641.69
  4. Step 4: Simplify right side
    301,279.50x = 431,178,305,762.85
  5. Step 5: Solve for x
    x = 431,178,305,762.85/301,279.50
  6. Step 6: Final answer
    x = 1,431,157.13

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.