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Finding the Third Proportional to 307,186.88 and 673,422.47

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Solution

The third proportional to 307,186.88 and 673,422.47 is: 1,476,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,186.88 : 673,422.47 = 673,422.47 : x
  2. Step 2: Convert to fraction form
    307,186.88/673,422.47 = 673,422.47/x
  3. Step 3: Cross multiply
    307,186.88x = 673,422.47 × 673,422.47
  4. Step 4: Simplify right side
    307,186.88x = 453,497,821,417.35
  5. Step 5: Solve for x
    x = 453,497,821,417.35/307,186.88
  6. Step 6: Final answer
    x = 1,476,292.96

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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.