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Finding the Third Proportional to 379,446 and 774,133

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Solution

The third proportional to 379,446 and 774,133 is: 1,579,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,446 : 774,133 = 774,133 : x
  2. Step 2: Convert to fraction form
    379,446/774,133 = 774,133/x
  3. Step 3: Cross multiply
    379,446x = 774,133 × 774,133
  4. Step 4: Simplify right side
    379,446x = 599,281,901,689
  5. Step 5: Solve for x
    x = 599,281,901,689/379,446
  6. Step 6: Final answer
    x = 1,579,360.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.