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Finding the Third Proportional to 202,620 and 439,584

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Solution

The third proportional to 202,620 and 439,584 is: 953,677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,620 : 439,584 = 439,584 : x
  2. Step 2: Convert to fraction form
    202,620/439,584 = 439,584/x
  3. Step 3: Cross multiply
    202,620x = 439,584 × 439,584
  4. Step 4: Simplify right side
    202,620x = 193,234,093,056
  5. Step 5: Solve for x
    x = 193,234,093,056/202,620
  6. Step 6: Final answer
    x = 953,677.29

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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.