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Finding the Third Proportional to 201,482 and 434,440

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Solution

The third proportional to 201,482 and 434,440 is: 936,749.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,482 : 434,440 = 434,440 : x
  2. Step 2: Convert to fraction form
    201,482/434,440 = 434,440/x
  3. Step 3: Cross multiply
    201,482x = 434,440 × 434,440
  4. Step 4: Simplify right side
    201,482x = 188,738,113,600
  5. Step 5: Solve for x
    x = 188,738,113,600/201,482
  6. Step 6: Final answer
    x = 936,749.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.