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Finding the Third Proportional to 248,514 and 373,923

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Solution

The third proportional to 248,514 and 373,923 is: 562,617.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,514 : 373,923 = 373,923 : x
  2. Step 2: Convert to fraction form
    248,514/373,923 = 373,923/x
  3. Step 3: Cross multiply
    248,514x = 373,923 × 373,923
  4. Step 4: Simplify right side
    248,514x = 139,818,409,929
  5. Step 5: Solve for x
    x = 139,818,409,929/248,514
  6. Step 6: Final answer
    x = 562,617.84

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