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Finding the Third Proportional to 228,855.38 and 478,623.38

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Solution

The third proportional to 228,855.38 and 478,623.38 is: 1,000,982.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,855.38 : 478,623.38 = 478,623.38 : x
  2. Step 2: Convert to fraction form
    228,855.38/478,623.38 = 478,623.38/x
  3. Step 3: Cross multiply
    228,855.38x = 478,623.38 × 478,623.38
  4. Step 4: Simplify right side
    228,855.38x = 229,080,335,096.39
  5. Step 5: Solve for x
    x = 229,080,335,096.39/228,855.38
  6. Step 6: Final answer
    x = 1,000,982.98

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.