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Finding the Third Proportional to 326,493 and 499,116

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Solution

The third proportional to 326,493 and 499,116 is: 763,008.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,493 : 499,116 = 499,116 : x
  2. Step 2: Convert to fraction form
    326,493/499,116 = 499,116/x
  3. Step 3: Cross multiply
    326,493x = 499,116 × 499,116
  4. Step 4: Simplify right side
    326,493x = 249,116,781,456
  5. Step 5: Solve for x
    x = 249,116,781,456/326,493
  6. Step 6: Final answer
    x = 763,008.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.