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Finding the Third Proportional to 429.75 and 669.75

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Solution

The third proportional to 429.75 and 669.75 is: 1,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.75 : 669.75 = 669.75 : x
  2. Step 2: Convert to fraction form
    429.75/669.75 = 669.75/x
  3. Step 3: Cross multiply
    429.75x = 669.75 × 669.75
  4. Step 4: Simplify right side
    429.75x = 448,565.06
  5. Step 5: Solve for x
    x = 448,565.06/429.75
  6. Step 6: Final answer
    x = 1,043.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.