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Finding the Third Proportional to 495,933.75 and 698,382.56

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Solution

The third proportional to 495,933.75 and 698,382.56 is: 983,474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,933.75 : 698,382.56 = 698,382.56 : x
  2. Step 2: Convert to fraction form
    495,933.75/698,382.56 = 698,382.56/x
  3. Step 3: Cross multiply
    495,933.75x = 698,382.56 × 698,382.56
  4. Step 4: Simplify right side
    495,933.75x = 487,738,203,604.07
  5. Step 5: Solve for x
    x = 487,738,203,604.07/495,933.75
  6. Step 6: Final answer
    x = 983,474.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.