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Finding the Third Proportional to 432,230 and 694,477

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Solution

The third proportional to 432,230 and 694,477 is: 1,115,837.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,230 : 694,477 = 694,477 : x
  2. Step 2: Convert to fraction form
    432,230/694,477 = 694,477/x
  3. Step 3: Cross multiply
    432,230x = 694,477 × 694,477
  4. Step 4: Simplify right side
    432,230x = 482,298,303,529
  5. Step 5: Solve for x
    x = 482,298,303,529/432,230
  6. Step 6: Final answer
    x = 1,115,837.18

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.