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Finding the Third Proportional to 214,452 and 458,354

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Solution

The third proportional to 214,452 and 458,354 is: 979,652.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,452 : 458,354 = 458,354 : x
  2. Step 2: Convert to fraction form
    214,452/458,354 = 458,354/x
  3. Step 3: Cross multiply
    214,452x = 458,354 × 458,354
  4. Step 4: Simplify right side
    214,452x = 210,088,389,316
  5. Step 5: Solve for x
    x = 210,088,389,316/214,452
  6. Step 6: Final answer
    x = 979,652.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.