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Finding the Third Proportional to 233,758 and 496,640

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Solution

The third proportional to 233,758 and 496,640 is: 1,055,156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,758 : 496,640 = 496,640 : x
  2. Step 2: Convert to fraction form
    233,758/496,640 = 496,640/x
  3. Step 3: Cross multiply
    233,758x = 496,640 × 496,640
  4. Step 4: Simplify right side
    233,758x = 246,651,289,600
  5. Step 5: Solve for x
    x = 246,651,289,600/233,758
  6. Step 6: Final answer
    x = 1,055,156.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.