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Finding the Third Proportional to 214,392 and 483,411

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Solution

The third proportional to 214,392 and 483,411 is: 1,089,994.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,392 : 483,411 = 483,411 : x
  2. Step 2: Convert to fraction form
    214,392/483,411 = 483,411/x
  3. Step 3: Cross multiply
    214,392x = 483,411 × 483,411
  4. Step 4: Simplify right side
    214,392x = 233,686,194,921
  5. Step 5: Solve for x
    x = 233,686,194,921/214,392
  6. Step 6: Final answer
    x = 1,089,994.94

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.