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Finding the Third Proportional to 202,622 and 439,588

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Solution

The third proportional to 202,622 and 439,588 is: 953,685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,622 : 439,588 = 439,588 : x
  2. Step 2: Convert to fraction form
    202,622/439,588 = 439,588/x
  3. Step 3: Cross multiply
    202,622x = 439,588 × 439,588
  4. Step 4: Simplify right side
    202,622x = 193,237,609,744
  5. Step 5: Solve for x
    x = 193,237,609,744/202,622
  6. Step 6: Final answer
    x = 953,685.24

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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.