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Finding the Third Proportional to 226,803 and 483,414

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Solution

The third proportional to 226,803 and 483,414 is: 1,030,361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,803 : 483,414 = 483,414 : x
  2. Step 2: Convert to fraction form
    226,803/483,414 = 483,414/x
  3. Step 3: Cross multiply
    226,803x = 483,414 × 483,414
  4. Step 4: Simplify right side
    226,803x = 233,689,095,396
  5. Step 5: Solve for x
    x = 233,689,095,396/226,803
  6. Step 6: Final answer
    x = 1,030,361.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.