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Finding the Third Proportional to 316,024.50 and 682,836

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Solution

The third proportional to 316,024.50 and 682,836 is: 1,475,407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,024.50 : 682,836 = 682,836 : x
  2. Step 2: Convert to fraction form
    316,024.50/682,836 = 682,836/x
  3. Step 3: Cross multiply
    316,024.50x = 682,836 × 682,836
  4. Step 4: Simplify right side
    316,024.50x = 466,265,002,896
  5. Step 5: Solve for x
    x = 466,265,002,896/316,024.50
  6. Step 6: Final answer
    x = 1,475,407.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.