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Finding the Third Proportional to 505,901.25 and 1,083,527.75

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Solution

The third proportional to 505,901.25 and 1,083,527.75 is: 2,320,675.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,901.25 : 1,083,527.75 = 1,083,527.75 : x
  2. Step 2: Convert to fraction form
    505,901.25/1,083,527.75 = 1,083,527.75/x
  3. Step 3: Cross multiply
    505,901.25x = 1,083,527.75 × 1,083,527.75
  4. Step 4: Simplify right side
    505,901.25x = 1,174,032,385,020.06
  5. Step 5: Solve for x
    x = 1,174,032,385,020.06/505,901.25
  6. Step 6: Final answer
    x = 2,320,675.00

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Why These Related Problems?

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