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Finding the Third Proportional to 233,378 and 349,995

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Solution

The third proportional to 233,378 and 349,995 is: 524,884.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,378 : 349,995 = 349,995 : x
  2. Step 2: Convert to fraction form
    233,378/349,995 = 349,995/x
  3. Step 3: Cross multiply
    233,378x = 349,995 × 349,995
  4. Step 4: Simplify right side
    233,378x = 122,496,500,025
  5. Step 5: Solve for x
    x = 122,496,500,025/233,378
  6. Step 6: Final answer
    x = 524,884.52

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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.