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Finding the Third Proportional to 283,700 and 614,676

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Solution

The third proportional to 283,700 and 614,676 is: 1,331,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,700 : 614,676 = 614,676 : x
  2. Step 2: Convert to fraction form
    283,700/614,676 = 614,676/x
  3. Step 3: Cross multiply
    283,700x = 614,676 × 614,676
  4. Step 4: Simplify right side
    283,700x = 377,826,584,976
  5. Step 5: Solve for x
    x = 377,826,584,976/283,700
  6. Step 6: Final answer
    x = 1,331,782.11

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Why These Related Problems?

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