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Finding the Third Proportional to 215,064 and 467,853.75

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Solution

The third proportional to 215,064 and 467,853.75 is: 1,017,776.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,064 : 467,853.75 = 467,853.75 : x
  2. Step 2: Convert to fraction form
    215,064/467,853.75 = 467,853.75/x
  3. Step 3: Cross multiply
    215,064x = 467,853.75 × 467,853.75
  4. Step 4: Simplify right side
    215,064x = 218,887,131,389.06
  5. Step 5: Solve for x
    x = 218,887,131,389.06/215,064
  6. Step 6: Final answer
    x = 1,017,776.71

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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.