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Finding the Third Proportional to 429.05 and 1,021.57

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Solution

The third proportional to 429.05 and 1,021.57 is: 2,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.05 : 1,021.57 = 1,021.57 : x
  2. Step 2: Convert to fraction form
    429.05/1,021.57 = 1,021.57/x
  3. Step 3: Cross multiply
    429.05x = 1,021.57 × 1,021.57
  4. Step 4: Simplify right side
    429.05x = 1,043,605.90
  5. Step 5: Solve for x
    x = 1,043,605.90/429.05
  6. Step 6: Final answer
    x = 2,432.38

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.