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Finding the Third Proportional to 432,107 and 622,466

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Solution

The third proportional to 432,107 and 622,466 is: 896,685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,107 : 622,466 = 622,466 : x
  2. Step 2: Convert to fraction form
    432,107/622,466 = 622,466/x
  3. Step 3: Cross multiply
    432,107x = 622,466 × 622,466
  4. Step 4: Simplify right side
    432,107x = 387,463,921,156
  5. Step 5: Solve for x
    x = 387,463,921,156/432,107
  6. Step 6: Final answer
    x = 896,685.13

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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.