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Finding the Third Proportional to 202,472 and 439,895

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Solution

The third proportional to 202,472 and 439,895 is: 955,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,472 : 439,895 = 439,895 : x
  2. Step 2: Convert to fraction form
    202,472/439,895 = 439,895/x
  3. Step 3: Cross multiply
    202,472x = 439,895 × 439,895
  4. Step 4: Simplify right side
    202,472x = 193,507,611,025
  5. Step 5: Solve for x
    x = 193,507,611,025/202,472
  6. Step 6: Final answer
    x = 955,725.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.