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Finding the Third Proportional to 432,105 and 622,463

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Solution

The third proportional to 432,105 and 622,463 is: 896,680.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,105 : 622,463 = 622,463 : x
  2. Step 2: Convert to fraction form
    432,105/622,463 = 622,463/x
  3. Step 3: Cross multiply
    432,105x = 622,463 × 622,463
  4. Step 4: Simplify right side
    432,105x = 387,460,186,369
  5. Step 5: Solve for x
    x = 387,460,186,369/432,105
  6. Step 6: Final answer
    x = 896,680.64

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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.