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Finding the Third Proportional to 429 and 607.25

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Solution

The third proportional to 429 and 607.25 is: 859.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    429 : 607.25 = 607.25 : x
  2. Step 2: Convert to fraction form
    429/607.25 = 607.25/x
  3. Step 3: Cross multiply
    429x = 607.25 × 607.25
  4. Step 4: Simplify right side
    429x = 368,752.56
  5. Step 5: Solve for x
    x = 368,752.56/429
  6. Step 6: Final answer
    x = 859.56

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.