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Finding the Third Proportional to 511,203.75 and 793,776.75

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Solution

The third proportional to 511,203.75 and 793,776.75 is: 1,232,544.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,203.75 : 793,776.75 = 793,776.75 : x
  2. Step 2: Convert to fraction form
    511,203.75/793,776.75 = 793,776.75/x
  3. Step 3: Cross multiply
    511,203.75x = 793,776.75 × 793,776.75
  4. Step 4: Simplify right side
    511,203.75x = 630,081,528,840.56
  5. Step 5: Solve for x
    x = 630,081,528,840.56/511,203.75
  6. Step 6: Final answer
    x = 1,232,544.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.