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Finding the Third Proportional to 244,010 and 389,613

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Solution

The third proportional to 244,010 and 389,613 is: 622,098.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,010 : 389,613 = 389,613 : x
  2. Step 2: Convert to fraction form
    244,010/389,613 = 389,613/x
  3. Step 3: Cross multiply
    244,010x = 389,613 × 389,613
  4. Step 4: Simplify right side
    244,010x = 151,798,289,769
  5. Step 5: Solve for x
    x = 151,798,289,769/244,010
  6. Step 6: Final answer
    x = 622,098.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.