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Finding the Third Proportional to 353,326 and 531,934

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Solution

The third proportional to 353,326 and 531,934 is: 800,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,326 : 531,934 = 531,934 : x
  2. Step 2: Convert to fraction form
    353,326/531,934 = 531,934/x
  3. Step 3: Cross multiply
    353,326x = 531,934 × 531,934
  4. Step 4: Simplify right side
    353,326x = 282,953,780,356
  5. Step 5: Solve for x
    x = 282,953,780,356/353,326
  6. Step 6: Final answer
    x = 800,829.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.