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Finding the Third Proportional to 233,520 and 494,805

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Solution

The third proportional to 233,520 and 494,805 is: 1,048,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,520 : 494,805 = 494,805 : x
  2. Step 2: Convert to fraction form
    233,520/494,805 = 494,805/x
  3. Step 3: Cross multiply
    233,520x = 494,805 × 494,805
  4. Step 4: Simplify right side
    233,520x = 244,831,988,025
  5. Step 5: Solve for x
    x = 244,831,988,025/233,520
  6. Step 6: Final answer
    x = 1,048,441.20

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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.