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Finding the Third Proportional to 495,923 and 741,963

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Solution

The third proportional to 495,923 and 741,963 is: 1,110,069.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,923 : 741,963 = 741,963 : x
  2. Step 2: Convert to fraction form
    495,923/741,963 = 741,963/x
  3. Step 3: Cross multiply
    495,923x = 741,963 × 741,963
  4. Step 4: Simplify right side
    495,923x = 550,509,093,369
  5. Step 5: Solve for x
    x = 550,509,093,369/495,923
  6. Step 6: Final answer
    x = 1,110,069.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.