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Finding the Third Proportional to 324,648 and 499,284

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Solution

The third proportional to 324,648 and 499,284 is: 767,860.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,648 : 499,284 = 499,284 : x
  2. Step 2: Convert to fraction form
    324,648/499,284 = 499,284/x
  3. Step 3: Cross multiply
    324,648x = 499,284 × 499,284
  4. Step 4: Simplify right side
    324,648x = 249,284,512,656
  5. Step 5: Solve for x
    x = 249,284,512,656/324,648
  6. Step 6: Final answer
    x = 767,860.92

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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.