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Finding the Third Proportional to 331,019.63 and 701,768.34

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Solution

The third proportional to 331,019.63 and 701,768.34 is: 1,487,763.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,019.63 : 701,768.34 = 701,768.34 : x
  2. Step 2: Convert to fraction form
    331,019.63/701,768.34 = 701,768.34/x
  3. Step 3: Cross multiply
    331,019.63x = 701,768.34 × 701,768.34
  4. Step 4: Simplify right side
    331,019.63x = 492,478,800,065.76
  5. Step 5: Solve for x
    x = 492,478,800,065.76/331,019.63
  6. Step 6: Final answer
    x = 1,487,763.12

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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.