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Finding the Third Proportional to 415,597.50 and 894,762

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Solution

The third proportional to 415,597.50 and 894,762 is: 1,926,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,597.50 : 894,762 = 894,762 : x
  2. Step 2: Convert to fraction form
    415,597.50/894,762 = 894,762/x
  3. Step 3: Cross multiply
    415,597.50x = 894,762 × 894,762
  4. Step 4: Simplify right side
    415,597.50x = 800,599,036,644
  5. Step 5: Solve for x
    x = 800,599,036,644/415,597.50
  6. Step 6: Final answer
    x = 1,926,380.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.