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Finding the Third Proportional to 649,994.63 and 862,680.38

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Solution

The third proportional to 649,994.63 and 862,680.38 is: 1,144,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,994.63 : 862,680.38 = 862,680.38 : x
  2. Step 2: Convert to fraction form
    649,994.63/862,680.38 = 862,680.38/x
  3. Step 3: Cross multiply
    649,994.63x = 862,680.38 × 862,680.38
  4. Step 4: Simplify right side
    649,994.63x = 744,217,429,410.14
  5. Step 5: Solve for x
    x = 744,217,429,410.14/649,994.63
  6. Step 6: Final answer
    x = 1,144,959.36

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.