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Finding the Third Proportional to 307,047.94 and 666,543.38

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Solution

The third proportional to 307,047.94 and 666,543.38 is: 1,446,940.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,047.94 : 666,543.38 = 666,543.38 : x
  2. Step 2: Convert to fraction form
    307,047.94/666,543.38 = 666,543.38/x
  3. Step 3: Cross multiply
    307,047.94x = 666,543.38 × 666,543.38
  4. Step 4: Simplify right side
    307,047.94x = 444,280,070,756.39
  5. Step 5: Solve for x
    x = 444,280,070,756.39/307,047.94
  6. Step 6: Final answer
    x = 1,446,940.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.