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Finding the Third Proportional to 506,768.91 and 682,583.20

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Solution

The third proportional to 506,768.91 and 682,583.20 is: 919,393.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,768.91 : 682,583.20 = 682,583.20 : x
  2. Step 2: Convert to fraction form
    506,768.91/682,583.20 = 682,583.20/x
  3. Step 3: Cross multiply
    506,768.91x = 682,583.20 × 682,583.20
  4. Step 4: Simplify right side
    506,768.91x = 465,919,829,188.39
  5. Step 5: Solve for x
    x = 465,919,829,188.39/506,768.91
  6. Step 6: Final answer
    x = 919,393.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.