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Finding the Third Proportional to 276,960 and 603,804

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Solution

The third proportional to 276,960 and 603,804 is: 1,316,360.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,960 : 603,804 = 603,804 : x
  2. Step 2: Convert to fraction form
    276,960/603,804 = 603,804/x
  3. Step 3: Cross multiply
    276,960x = 603,804 × 603,804
  4. Step 4: Simplify right side
    276,960x = 364,579,270,416
  5. Step 5: Solve for x
    x = 364,579,270,416/276,960
  6. Step 6: Final answer
    x = 1,316,360.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.