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Finding the Third Proportional to 411,184 and 599,274

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Solution

The third proportional to 411,184 and 599,274 is: 873,402.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,184 : 599,274 = 599,274 : x
  2. Step 2: Convert to fraction form
    411,184/599,274 = 599,274/x
  3. Step 3: Cross multiply
    411,184x = 599,274 × 599,274
  4. Step 4: Simplify right side
    411,184x = 359,129,327,076
  5. Step 5: Solve for x
    x = 359,129,327,076/411,184
  6. Step 6: Final answer
    x = 873,402.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.