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Finding the Third Proportional to 189,876 and 409,773

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Solution

The third proportional to 189,876 and 409,773 is: 884,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,876 : 409,773 = 409,773 : x
  2. Step 2: Convert to fraction form
    189,876/409,773 = 409,773/x
  3. Step 3: Cross multiply
    189,876x = 409,773 × 409,773
  4. Step 4: Simplify right side
    189,876x = 167,913,911,529
  5. Step 5: Solve for x
    x = 167,913,911,529/189,876
  6. Step 6: Final answer
    x = 884,334.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.