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Finding the Third Proportional to 232,595 and 500,828

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Solution

The third proportional to 232,595 and 500,828 is: 1,078,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,595 : 500,828 = 500,828 : x
  2. Step 2: Convert to fraction form
    232,595/500,828 = 500,828/x
  3. Step 3: Cross multiply
    232,595x = 500,828 × 500,828
  4. Step 4: Simplify right side
    232,595x = 250,828,685,584
  5. Step 5: Solve for x
    x = 250,828,685,584/232,595
  6. Step 6: Final answer
    x = 1,078,392.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.