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Finding the Third Proportional to 515,679.75 and 786,867.75

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Solution

The third proportional to 515,679.75 and 786,867.75 is: 1,200,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,679.75 : 786,867.75 = 786,867.75 : x
  2. Step 2: Convert to fraction form
    515,679.75/786,867.75 = 786,867.75/x
  3. Step 3: Cross multiply
    515,679.75x = 786,867.75 × 786,867.75
  4. Step 4: Simplify right side
    515,679.75x = 619,160,855,990.06
  5. Step 5: Solve for x
    x = 619,160,855,990.06/515,679.75
  6. Step 6: Final answer
    x = 1,200,669.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.