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Finding the Third Proportional to 332,974 and 719,152

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Solution

The third proportional to 332,974 and 719,152 is: 1,553,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,974 : 719,152 = 719,152 : x
  2. Step 2: Convert to fraction form
    332,974/719,152 = 719,152/x
  3. Step 3: Cross multiply
    332,974x = 719,152 × 719,152
  4. Step 4: Simplify right side
    332,974x = 517,179,599,104
  5. Step 5: Solve for x
    x = 517,179,599,104/332,974
  6. Step 6: Final answer
    x = 1,553,213.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.