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Finding the Third Proportional to 412,236 and 655,758

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Solution

The third proportional to 412,236 and 655,758 is: 1,043,136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,236 : 655,758 = 655,758 : x
  2. Step 2: Convert to fraction form
    412,236/655,758 = 655,758/x
  3. Step 3: Cross multiply
    412,236x = 655,758 × 655,758
  4. Step 4: Simplify right side
    412,236x = 430,018,554,564
  5. Step 5: Solve for x
    x = 430,018,554,564/412,236
  6. Step 6: Final answer
    x = 1,043,136.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.