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Finding the Third Proportional to 362,325 and 786,981

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Solution

The third proportional to 362,325 and 786,981 is: 1,709,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,325 : 786,981 = 786,981 : x
  2. Step 2: Convert to fraction form
    362,325/786,981 = 786,981/x
  3. Step 3: Cross multiply
    362,325x = 786,981 × 786,981
  4. Step 4: Simplify right side
    362,325x = 619,339,094,361
  5. Step 5: Solve for x
    x = 619,339,094,361/362,325
  6. Step 6: Final answer
    x = 1,709,346.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.