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Finding the Third Proportional to 324,457 and 483,993

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Solution

The third proportional to 324,457 and 483,993 is: 721,973.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,457 : 483,993 = 483,993 : x
  2. Step 2: Convert to fraction form
    324,457/483,993 = 483,993/x
  3. Step 3: Cross multiply
    324,457x = 483,993 × 483,993
  4. Step 4: Simplify right side
    324,457x = 234,249,224,049
  5. Step 5: Solve for x
    x = 234,249,224,049/324,457
  6. Step 6: Final answer
    x = 721,973.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.