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Finding the Third Proportional to 214,421 and 483,483

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Solution

The third proportional to 214,421 and 483,483 is: 1,090,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,421 : 483,483 = 483,483 : x
  2. Step 2: Convert to fraction form
    214,421/483,483 = 483,483/x
  3. Step 3: Cross multiply
    214,421x = 483,483 × 483,483
  4. Step 4: Simplify right side
    214,421x = 233,755,811,289
  5. Step 5: Solve for x
    x = 233,755,811,289/214,421
  6. Step 6: Final answer
    x = 1,090,172.19

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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.