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Finding the Third Proportional to 366,072 and 671,394

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Solution

The third proportional to 366,072 and 671,394 is: 1,231,369.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,072 : 671,394 = 671,394 : x
  2. Step 2: Convert to fraction form
    366,072/671,394 = 671,394/x
  3. Step 3: Cross multiply
    366,072x = 671,394 × 671,394
  4. Step 4: Simplify right side
    366,072x = 450,769,903,236
  5. Step 5: Solve for x
    x = 450,769,903,236/366,072
  6. Step 6: Final answer
    x = 1,231,369.52

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.