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Finding the Third Proportional to 511,012.13 and 793,509.75

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Solution

The third proportional to 511,012.13 and 793,509.75 is: 1,232,177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,012.13 : 793,509.75 = 793,509.75 : x
  2. Step 2: Convert to fraction form
    511,012.13/793,509.75 = 793,509.75/x
  3. Step 3: Cross multiply
    511,012.13x = 793,509.75 × 793,509.75
  4. Step 4: Simplify right side
    511,012.13x = 629,657,723,345.06
  5. Step 5: Solve for x
    x = 629,657,723,345.06/511,012.13
  6. Step 6: Final answer
    x = 1,232,177.66

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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.