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Finding the Third Proportional to 535,947.75 and 853,121.63

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Solution

The third proportional to 535,947.75 and 853,121.63 is: 1,357,999.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,947.75 : 853,121.63 = 853,121.63 : x
  2. Step 2: Convert to fraction form
    535,947.75/853,121.63 = 853,121.63/x
  3. Step 3: Cross multiply
    535,947.75x = 853,121.63 × 853,121.63
  4. Step 4: Simplify right side
    535,947.75x = 727,816,507,042.64
  5. Step 5: Solve for x
    x = 727,816,507,042.64/535,947.75
  6. Step 6: Final answer
    x = 1,357,999.00

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.