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Finding the Third Proportional to 332,988 and 713,616

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Solution

The third proportional to 332,988 and 713,616 is: 1,529,327.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,988 : 713,616 = 713,616 : x
  2. Step 2: Convert to fraction form
    332,988/713,616 = 713,616/x
  3. Step 3: Cross multiply
    332,988x = 713,616 × 713,616
  4. Step 4: Simplify right side
    332,988x = 509,247,795,456
  5. Step 5: Solve for x
    x = 509,247,795,456/332,988
  6. Step 6: Final answer
    x = 1,529,327.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.