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Finding the Third Proportional to 214,081 and 466,303

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Solution

The third proportional to 214,081 and 466,303 is: 1,015,683.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,081 : 466,303 = 466,303 : x
  2. Step 2: Convert to fraction form
    214,081/466,303 = 466,303/x
  3. Step 3: Cross multiply
    214,081x = 466,303 × 466,303
  4. Step 4: Simplify right side
    214,081x = 217,438,487,809
  5. Step 5: Solve for x
    x = 217,438,487,809/214,081
  6. Step 6: Final answer
    x = 1,015,683.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.