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Finding the Third Proportional to 393,111.75 and 859,828.88

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Solution

The third proportional to 393,111.75 and 859,828.88 is: 1,880,650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,111.75 : 859,828.88 = 859,828.88 : x
  2. Step 2: Convert to fraction form
    393,111.75/859,828.88 = 859,828.88/x
  3. Step 3: Cross multiply
    393,111.75x = 859,828.88 × 859,828.88
  4. Step 4: Simplify right side
    393,111.75x = 739,305,694,283.77
  5. Step 5: Solve for x
    x = 739,305,694,283.77/393,111.75
  6. Step 6: Final answer
    x = 1,880,650.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.