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Finding the Third Proportional to 324,674 and 499,323

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Solution

The third proportional to 324,674 and 499,323 is: 767,919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,674 : 499,323 = 499,323 : x
  2. Step 2: Convert to fraction form
    324,674/499,323 = 499,323/x
  3. Step 3: Cross multiply
    324,674x = 499,323 × 499,323
  4. Step 4: Simplify right side
    324,674x = 249,323,458,329
  5. Step 5: Solve for x
    x = 249,323,458,329/324,674
  6. Step 6: Final answer
    x = 767,919.38

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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.