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Finding the Third Proportional to 451,983 and 683,806

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Solution

The third proportional to 451,983 and 683,806 is: 1,034,531.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,983 : 683,806 = 683,806 : x
  2. Step 2: Convert to fraction form
    451,983/683,806 = 683,806/x
  3. Step 3: Cross multiply
    451,983x = 683,806 × 683,806
  4. Step 4: Simplify right side
    451,983x = 467,590,645,636
  5. Step 5: Solve for x
    x = 467,590,645,636/451,983
  6. Step 6: Final answer
    x = 1,034,531.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.