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Finding the Third Proportional to 324,652 and 499,289

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Solution

The third proportional to 324,652 and 499,289 is: 767,866.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,652 : 499,289 = 499,289 : x
  2. Step 2: Convert to fraction form
    324,652/499,289 = 499,289/x
  3. Step 3: Cross multiply
    324,652x = 499,289 × 499,289
  4. Step 4: Simplify right side
    324,652x = 249,289,505,521
  5. Step 5: Solve for x
    x = 249,289,505,521/324,652
  6. Step 6: Final answer
    x = 767,866.84

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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.