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Finding the Third Proportional to 411,186 and 599,277

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Solution

The third proportional to 411,186 and 599,277 is: 873,407.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,186 : 599,277 = 599,277 : x
  2. Step 2: Convert to fraction form
    411,186/599,277 = 599,277/x
  3. Step 3: Cross multiply
    411,186x = 599,277 × 599,277
  4. Step 4: Simplify right side
    411,186x = 359,132,922,729
  5. Step 5: Solve for x
    x = 359,132,922,729/411,186
  6. Step 6: Final answer
    x = 873,407.47

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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.