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Finding the Third Proportional to 214,539 and 462,303

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Solution

The third proportional to 214,539 and 462,303 is: 996,201.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,539 : 462,303 = 462,303 : x
  2. Step 2: Convert to fraction form
    214,539/462,303 = 462,303/x
  3. Step 3: Cross multiply
    214,539x = 462,303 × 462,303
  4. Step 4: Simplify right side
    214,539x = 213,724,063,809
  5. Step 5: Solve for x
    x = 213,724,063,809/214,539
  6. Step 6: Final answer
    x = 996,201.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.