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Finding the Third Proportional to 320,761.69 and 432,973.69

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Solution

The third proportional to 320,761.69 and 432,973.69 is: 584,440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,761.69 : 432,973.69 = 432,973.69 : x
  2. Step 2: Convert to fraction form
    320,761.69/432,973.69 = 432,973.69/x
  3. Step 3: Cross multiply
    320,761.69x = 432,973.69 × 432,973.69
  4. Step 4: Simplify right side
    320,761.69x = 187,466,214,067.35
  5. Step 5: Solve for x
    x = 187,466,214,067.35/320,761.69
  6. Step 6: Final answer
    x = 584,440.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.