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Finding the Third Proportional to 214,448 and 458,346

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Solution

The third proportional to 214,448 and 458,346 is: 979,636.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,448 : 458,346 = 458,346 : x
  2. Step 2: Convert to fraction form
    214,448/458,346 = 458,346/x
  3. Step 3: Cross multiply
    214,448x = 458,346 × 458,346
  4. Step 4: Simplify right side
    214,448x = 210,081,055,716
  5. Step 5: Solve for x
    x = 210,081,055,716/214,448
  6. Step 6: Final answer
    x = 979,636.35

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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.