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Finding the Third Proportional to 228,011.25 and 494,960.25

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Solution

The third proportional to 228,011.25 and 494,960.25 is: 1,074,445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,011.25 : 494,960.25 = 494,960.25 : x
  2. Step 2: Convert to fraction form
    228,011.25/494,960.25 = 494,960.25/x
  3. Step 3: Cross multiply
    228,011.25x = 494,960.25 × 494,960.25
  4. Step 4: Simplify right side
    228,011.25x = 244,985,649,080.06
  5. Step 5: Solve for x
    x = 244,985,649,080.06/228,011.25
  6. Step 6: Final answer
    x = 1,074,445.45

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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.