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Finding the Third Proportional to 324,828 and 499,922

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Solution

The third proportional to 324,828 and 499,922 is: 769,397.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,828 : 499,922 = 499,922 : x
  2. Step 2: Convert to fraction form
    324,828/499,922 = 499,922/x
  3. Step 3: Cross multiply
    324,828x = 499,922 × 499,922
  4. Step 4: Simplify right side
    324,828x = 249,922,006,084
  5. Step 5: Solve for x
    x = 249,922,006,084/324,828
  6. Step 6: Final answer
    x = 769,397.98

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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.