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Finding the Third Proportional to 328,994 and 495,923

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Solution

The third proportional to 328,994 and 495,923 is: 747,550.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,994 : 495,923 = 495,923 : x
  2. Step 2: Convert to fraction form
    328,994/495,923 = 495,923/x
  3. Step 3: Cross multiply
    328,994x = 495,923 × 495,923
  4. Step 4: Simplify right side
    328,994x = 245,939,621,929
  5. Step 5: Solve for x
    x = 245,939,621,929/328,994
  6. Step 6: Final answer
    x = 747,550.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.