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Finding the Third Proportional to 432,102.94 and 622,459.69

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Solution

The third proportional to 432,102.94 and 622,459.69 is: 896,675.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,102.94 : 622,459.69 = 622,459.69 : x
  2. Step 2: Convert to fraction form
    432,102.94/622,459.69 = 622,459.69/x
  3. Step 3: Cross multiply
    432,102.94x = 622,459.69 × 622,459.69
  4. Step 4: Simplify right side
    432,102.94x = 387,456,062,562.60
  5. Step 5: Solve for x
    x = 387,456,062,562.60/432,102.94
  6. Step 6: Final answer
    x = 896,675.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.