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Finding the Third Proportional to 214,543 and 462,808

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Solution

The third proportional to 214,543 and 462,808 is: 998,360.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,543 : 462,808 = 462,808 : x
  2. Step 2: Convert to fraction form
    214,543/462,808 = 462,808/x
  3. Step 3: Cross multiply
    214,543x = 462,808 × 462,808
  4. Step 4: Simplify right side
    214,543x = 214,191,244,864
  5. Step 5: Solve for x
    x = 214,191,244,864/214,543
  6. Step 6: Final answer
    x = 998,360.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.