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Finding the Third Proportional to 337,213.69 and 705,605.63

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Solution

The third proportional to 337,213.69 and 705,605.63 is: 1,476,450.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,213.69 : 705,605.63 = 705,605.63 : x
  2. Step 2: Convert to fraction form
    337,213.69/705,605.63 = 705,605.63/x
  3. Step 3: Cross multiply
    337,213.69x = 705,605.63 × 705,605.63
  4. Step 4: Simplify right side
    337,213.69x = 497,879,298,031.64
  5. Step 5: Solve for x
    x = 497,879,298,031.64/337,213.69
  6. Step 6: Final answer
    x = 1,476,450.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.