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Finding the Third Proportional to 228,995.44 and 488,423.81

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Solution

The third proportional to 228,995.44 and 488,423.81 is: 1,041,757.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,995.44 : 488,423.81 = 488,423.81 : x
  2. Step 2: Convert to fraction form
    228,995.44/488,423.81 = 488,423.81/x
  3. Step 3: Cross multiply
    228,995.44x = 488,423.81 × 488,423.81
  4. Step 4: Simplify right side
    228,995.44x = 238,557,820,617.04
  5. Step 5: Solve for x
    x = 238,557,820,617.04/228,995.44
  6. Step 6: Final answer
    x = 1,041,757.96

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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.