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Finding the Third Proportional to 889.88 and 2,298.94

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Solution

The third proportional to 889.88 and 2,298.94 is: 5,939.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.88 : 2,298.94 = 2,298.94 : x
  2. Step 2: Convert to fraction form
    889.88/2,298.94 = 2,298.94/x
  3. Step 3: Cross multiply
    889.88x = 2,298.94 × 2,298.94
  4. Step 4: Simplify right side
    889.88x = 5,285,113.63
  5. Step 5: Solve for x
    x = 5,285,113.63/889.88
  6. Step 6: Final answer
    x = 5,939.16

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Why These Related Problems?

These problems maintain the same ratio (2.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.