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Finding the Third Proportional to 212,094 and 438,957

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Solution

The third proportional to 212,094 and 438,957 is: 908,480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,094 : 438,957 = 438,957 : x
  2. Step 2: Convert to fraction form
    212,094/438,957 = 438,957/x
  3. Step 3: Cross multiply
    212,094x = 438,957 × 438,957
  4. Step 4: Simplify right side
    212,094x = 192,683,247,849
  5. Step 5: Solve for x
    x = 192,683,247,849/212,094
  6. Step 6: Final answer
    x = 908,480.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.