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Finding the Third Proportional to 283,835 and 622,102

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Solution

The third proportional to 283,835 and 622,102 is: 1,363,506.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,835 : 622,102 = 622,102 : x
  2. Step 2: Convert to fraction form
    283,835/622,102 = 622,102/x
  3. Step 3: Cross multiply
    283,835x = 622,102 × 622,102
  4. Step 4: Simplify right side
    283,835x = 387,010,898,404
  5. Step 5: Solve for x
    x = 387,010,898,404/283,835
  6. Step 6: Final answer
    x = 1,363,506.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.