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Finding the Third Proportional to 458,676.75 and 674,532.75

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Solution

The third proportional to 458,676.75 and 674,532.75 is: 991,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,676.75 : 674,532.75 = 674,532.75 : x
  2. Step 2: Convert to fraction form
    458,676.75/674,532.75 = 674,532.75/x
  3. Step 3: Cross multiply
    458,676.75x = 674,532.75 × 674,532.75
  4. Step 4: Simplify right side
    458,676.75x = 454,994,430,822.56
  5. Step 5: Solve for x
    x = 454,994,430,822.56/458,676.75
  6. Step 6: Final answer
    x = 991,971.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.