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Finding the Third Proportional to 324,852 and 499,962

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Solution

The third proportional to 324,852 and 499,962 is: 769,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,852 : 499,962 = 499,962 : x
  2. Step 2: Convert to fraction form
    324,852/499,962 = 499,962/x
  3. Step 3: Cross multiply
    324,852x = 499,962 × 499,962
  4. Step 4: Simplify right side
    324,852x = 249,962,001,444
  5. Step 5: Solve for x
    x = 249,962,001,444/324,852
  6. Step 6: Final answer
    x = 769,464.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.