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Finding the Third Proportional to 333,804 and 724,236

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Solution

The third proportional to 333,804 and 724,236 is: 1,571,334.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,804 : 724,236 = 724,236 : x
  2. Step 2: Convert to fraction form
    333,804/724,236 = 724,236/x
  3. Step 3: Cross multiply
    333,804x = 724,236 × 724,236
  4. Step 4: Simplify right side
    333,804x = 524,517,783,696
  5. Step 5: Solve for x
    x = 524,517,783,696/333,804
  6. Step 6: Final answer
    x = 1,571,334.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.