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Finding the Third Proportional to 412,866 and 683,301

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Solution

The third proportional to 412,866 and 683,301 is: 1,130,876.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,866 : 683,301 = 683,301 : x
  2. Step 2: Convert to fraction form
    412,866/683,301 = 683,301/x
  3. Step 3: Cross multiply
    412,866x = 683,301 × 683,301
  4. Step 4: Simplify right side
    412,866x = 466,900,256,601
  5. Step 5: Solve for x
    x = 466,900,256,601/412,866
  6. Step 6: Final answer
    x = 1,130,876.01

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.