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Finding the Third Proportional to 557,296 and 885,668

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Solution

The third proportional to 557,296 and 885,668 is: 1,407,524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,296 : 885,668 = 885,668 : x
  2. Step 2: Convert to fraction form
    557,296/885,668 = 885,668/x
  3. Step 3: Cross multiply
    557,296x = 885,668 × 885,668
  4. Step 4: Simplify right side
    557,296x = 784,407,806,224
  5. Step 5: Solve for x
    x = 784,407,806,224/557,296
  6. Step 6: Final answer
    x = 1,407,524.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.