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Finding the Third Proportional to 202,083 and 439,644

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Solution

The third proportional to 202,083 and 439,644 is: 956,472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,083 : 439,644 = 439,644 : x
  2. Step 2: Convert to fraction form
    202,083/439,644 = 439,644/x
  3. Step 3: Cross multiply
    202,083x = 439,644 × 439,644
  4. Step 4: Simplify right side
    202,083x = 193,286,846,736
  5. Step 5: Solve for x
    x = 193,286,846,736/202,083
  6. Step 6: Final answer
    x = 956,472.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.