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Finding the Third Proportional to 304,673.34 and 660,194.44

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Solution

The third proportional to 304,673.34 and 660,194.44 is: 1,430,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,673.34 : 660,194.44 = 660,194.44 : x
  2. Step 2: Convert to fraction form
    304,673.34/660,194.44 = 660,194.44/x
  3. Step 3: Cross multiply
    304,673.34x = 660,194.44 × 660,194.44
  4. Step 4: Simplify right side
    304,673.34x = 435,856,695,305.94
  5. Step 5: Solve for x
    x = 435,856,695,305.94/304,673.34
  6. Step 6: Final answer
    x = 1,430,570.49

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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.