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Finding the Third Proportional to 228,024 and 494,984

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Solution

The third proportional to 228,024 and 494,984 is: 1,074,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,024 : 494,984 = 494,984 : x
  2. Step 2: Convert to fraction form
    228,024/494,984 = 494,984/x
  3. Step 3: Cross multiply
    228,024x = 494,984 × 494,984
  4. Step 4: Simplify right side
    228,024x = 245,009,160,256
  5. Step 5: Solve for x
    x = 245,009,160,256/228,024
  6. Step 6: Final answer
    x = 1,074,488.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.