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Finding the Third Proportional to 208,008 and 462,744

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Solution

The third proportional to 208,008 and 462,744 is: 1,029,441.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,008 : 462,744 = 462,744 : x
  2. Step 2: Convert to fraction form
    208,008/462,744 = 462,744/x
  3. Step 3: Cross multiply
    208,008x = 462,744 × 462,744
  4. Step 4: Simplify right side
    208,008x = 214,132,009,536
  5. Step 5: Solve for x
    x = 214,132,009,536/208,008
  6. Step 6: Final answer
    x = 1,029,441.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.