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Finding the Third Proportional to 407,820 and 622,098

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Solution

The third proportional to 407,820 and 622,098 is: 948,962.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,820 : 622,098 = 622,098 : x
  2. Step 2: Convert to fraction form
    407,820/622,098 = 622,098/x
  3. Step 3: Cross multiply
    407,820x = 622,098 × 622,098
  4. Step 4: Simplify right side
    407,820x = 387,005,921,604
  5. Step 5: Solve for x
    x = 387,005,921,604/407,820
  6. Step 6: Final answer
    x = 948,962.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.