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Finding the Third Proportional to 351,477 and 727,876

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Solution

The third proportional to 351,477 and 727,876 is: 1,507,363.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,477 : 727,876 = 727,876 : x
  2. Step 2: Convert to fraction form
    351,477/727,876 = 727,876/x
  3. Step 3: Cross multiply
    351,477x = 727,876 × 727,876
  4. Step 4: Simplify right side
    351,477x = 529,803,471,376
  5. Step 5: Solve for x
    x = 529,803,471,376/351,477
  6. Step 6: Final answer
    x = 1,507,363.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.