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Finding the Third Proportional to 312,201.50 and 676,892

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Solution

The third proportional to 312,201.50 and 676,892 is: 1,467,586.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,201.50 : 676,892 = 676,892 : x
  2. Step 2: Convert to fraction form
    312,201.50/676,892 = 676,892/x
  3. Step 3: Cross multiply
    312,201.50x = 676,892 × 676,892
  4. Step 4: Simplify right side
    312,201.50x = 458,182,779,664
  5. Step 5: Solve for x
    x = 458,182,779,664/312,201.50
  6. Step 6: Final answer
    x = 1,467,586.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.