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Finding the Third Proportional to 363,837.75 and 777,549.75

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Solution

The third proportional to 363,837.75 and 777,549.75 is: 1,661,684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,837.75 : 777,549.75 = 777,549.75 : x
  2. Step 2: Convert to fraction form
    363,837.75/777,549.75 = 777,549.75/x
  3. Step 3: Cross multiply
    363,837.75x = 777,549.75 × 777,549.75
  4. Step 4: Simplify right side
    363,837.75x = 604,583,613,725.06
  5. Step 5: Solve for x
    x = 604,583,613,725.06/363,837.75
  6. Step 6: Final answer
    x = 1,661,684.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.