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Finding the Third Proportional to 435.94 and 1,000.97

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Solution

The third proportional to 435.94 and 1,000.97 is: 2,298.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.94 : 1,000.97 = 1,000.97 : x
  2. Step 2: Convert to fraction form
    435.94/1,000.97 = 1,000.97/x
  3. Step 3: Cross multiply
    435.94x = 1,000.97 × 1,000.97
  4. Step 4: Simplify right side
    435.94x = 1,001,938.44
  5. Step 5: Solve for x
    x = 1,001,938.44/435.94
  6. Step 6: Final answer
    x = 2,298.35

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.