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Finding the Third Proportional to 988.78 and 1,467.94

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Solution

The third proportional to 988.78 and 1,467.94 is: 2,179.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.78 : 1,467.94 = 1,467.94 : x
  2. Step 2: Convert to fraction form
    988.78/1,467.94 = 1,467.94/x
  3. Step 3: Cross multiply
    988.78x = 1,467.94 × 1,467.94
  4. Step 4: Simplify right side
    988.78x = 2,154,840.50
  5. Step 5: Solve for x
    x = 2,154,840.50/988.78
  6. Step 6: Final answer
    x = 2,179.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.