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Finding the Third Proportional to 332,378 and 724,894

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Solution

The third proportional to 332,378 and 724,894 is: 1,580,944.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,378 : 724,894 = 724,894 : x
  2. Step 2: Convert to fraction form
    332,378/724,894 = 724,894/x
  3. Step 3: Cross multiply
    332,378x = 724,894 × 724,894
  4. Step 4: Simplify right side
    332,378x = 525,471,311,236
  5. Step 5: Solve for x
    x = 525,471,311,236/332,378
  6. Step 6: Final answer
    x = 1,580,944.92

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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.