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Finding the Third Proportional to 201,796 and 438,584

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Solution

The third proportional to 201,796 and 438,584 is: 953,219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,796 : 438,584 = 438,584 : x
  2. Step 2: Convert to fraction form
    201,796/438,584 = 438,584/x
  3. Step 3: Cross multiply
    201,796x = 438,584 × 438,584
  4. Step 4: Simplify right side
    201,796x = 192,355,925,056
  5. Step 5: Solve for x
    x = 192,355,925,056/201,796
  6. Step 6: Final answer
    x = 953,219.71

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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.