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Finding the Third Proportional to 210,223 and 459,569

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Solution

The third proportional to 210,223 and 459,569 is: 1,004,664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,223 : 459,569 = 459,569 : x
  2. Step 2: Convert to fraction form
    210,223/459,569 = 459,569/x
  3. Step 3: Cross multiply
    210,223x = 459,569 × 459,569
  4. Step 4: Simplify right side
    210,223x = 211,203,665,761
  5. Step 5: Solve for x
    x = 211,203,665,761/210,223
  6. Step 6: Final answer
    x = 1,004,664.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.