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Finding the Third Proportional to 332,529 and 688,704

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Solution

The third proportional to 332,529 and 688,704 is: 1,426,381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,529 : 688,704 = 688,704 : x
  2. Step 2: Convert to fraction form
    332,529/688,704 = 688,704/x
  3. Step 3: Cross multiply
    332,529x = 688,704 × 688,704
  4. Step 4: Simplify right side
    332,529x = 474,313,199,616
  5. Step 5: Solve for x
    x = 474,313,199,616/332,529
  6. Step 6: Final answer
    x = 1,426,381.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.