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Finding the Third Proportional to 276,146 and 603,964

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Solution

The third proportional to 276,146 and 603,964 is: 1,320,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,146 : 603,964 = 603,964 : x
  2. Step 2: Convert to fraction form
    276,146/603,964 = 603,964/x
  3. Step 3: Cross multiply
    276,146x = 603,964 × 603,964
  4. Step 4: Simplify right side
    276,146x = 364,772,513,296
  5. Step 5: Solve for x
    x = 364,772,513,296/276,146
  6. Step 6: Final answer
    x = 1,320,940.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.