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Finding the Third Proportional to 279,869 and 603,964

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Solution

The third proportional to 279,869 and 603,964 is: 1,303,368.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,869 : 603,964 = 603,964 : x
  2. Step 2: Convert to fraction form
    279,869/603,964 = 603,964/x
  3. Step 3: Cross multiply
    279,869x = 603,964 × 603,964
  4. Step 4: Simplify right side
    279,869x = 364,772,513,296
  5. Step 5: Solve for x
    x = 364,772,513,296/279,869
  6. Step 6: Final answer
    x = 1,303,368.77

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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.