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Finding the Third Proportional to 403,083 and 629,133

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Solution

The third proportional to 403,083 and 629,133 is: 981,952.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,083 : 629,133 = 629,133 : x
  2. Step 2: Convert to fraction form
    403,083/629,133 = 629,133/x
  3. Step 3: Cross multiply
    403,083x = 629,133 × 629,133
  4. Step 4: Simplify right side
    403,083x = 395,808,331,689
  5. Step 5: Solve for x
    x = 395,808,331,689/403,083
  6. Step 6: Final answer
    x = 981,952.43

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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.