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Finding the Third Proportional to 393,525.84 and 834,343.03

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Solution

The third proportional to 393,525.84 and 834,343.03 is: 1,768,951.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,525.84 : 834,343.03 = 834,343.03 : x
  2. Step 2: Convert to fraction form
    393,525.84/834,343.03 = 834,343.03/x
  3. Step 3: Cross multiply
    393,525.84x = 834,343.03 × 834,343.03
  4. Step 4: Simplify right side
    393,525.84x = 696,128,293,795.44
  5. Step 5: Solve for x
    x = 696,128,293,795.44/393,525.84
  6. Step 6: Final answer
    x = 1,768,951.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.