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Finding the Third Proportional to 179,444 and 384,637

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Solution

The third proportional to 179,444 and 384,637 is: 824,466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,444 : 384,637 = 384,637 : x
  2. Step 2: Convert to fraction form
    179,444/384,637 = 384,637/x
  3. Step 3: Cross multiply
    179,444x = 384,637 × 384,637
  4. Step 4: Simplify right side
    179,444x = 147,945,621,769
  5. Step 5: Solve for x
    x = 147,945,621,769/179,444
  6. Step 6: Final answer
    x = 824,466.81

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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.