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Finding the Third Proportional to 214,416 and 483,471

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Solution

The third proportional to 214,416 and 483,471 is: 1,090,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,416 : 483,471 = 483,471 : x
  2. Step 2: Convert to fraction form
    214,416/483,471 = 483,471/x
  3. Step 3: Cross multiply
    214,416x = 483,471 × 483,471
  4. Step 4: Simplify right side
    214,416x = 233,744,207,841
  5. Step 5: Solve for x
    x = 233,744,207,841/214,416
  6. Step 6: Final answer
    x = 1,090,143.50

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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.