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Finding the Third Proportional to 429 and 695

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Solution

The third proportional to 429 and 695 is: 1,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    429 : 695 = 695 : x
  2. Step 2: Convert to fraction form
    429/695 = 695/x
  3. Step 3: Cross multiply
    429x = 695 × 695
  4. Step 4: Simplify right side
    429x = 483,025
  5. Step 5: Solve for x
    x = 483,025/429
  6. Step 6: Final answer
    x = 1,125.93

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.