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Finding the Third Proportional to 468.88 and 1,018.94

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Solution

The third proportional to 468.88 and 1,018.94 is: 2,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.88 : 1,018.94 = 1,018.94 : x
  2. Step 2: Convert to fraction form
    468.88/1,018.94 = 1,018.94/x
  3. Step 3: Cross multiply
    468.88x = 1,018.94 × 1,018.94
  4. Step 4: Simplify right side
    468.88x = 1,038,233.63
  5. Step 5: Solve for x
    x = 1,038,233.63/468.88
  6. Step 6: Final answer
    x = 2,214.31

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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.