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Finding the Third Proportional to 382,694.63 and 838,107

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Solution

The third proportional to 382,694.63 and 838,107 is: 1,835,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,694.63 : 838,107 = 838,107 : x
  2. Step 2: Convert to fraction form
    382,694.63/838,107 = 838,107/x
  3. Step 3: Cross multiply
    382,694.63x = 838,107 × 838,107
  4. Step 4: Simplify right side
    382,694.63x = 702,423,343,449
  5. Step 5: Solve for x
    x = 702,423,343,449/382,694.63
  6. Step 6: Final answer
    x = 1,835,466.97

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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.