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Finding the Third Proportional to 232,975 and 509,569

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Solution

The third proportional to 232,975 and 509,569 is: 1,114,542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,975 : 509,569 = 509,569 : x
  2. Step 2: Convert to fraction form
    232,975/509,569 = 509,569/x
  3. Step 3: Cross multiply
    232,975x = 509,569 × 509,569
  4. Step 4: Simplify right side
    232,975x = 259,660,565,761
  5. Step 5: Solve for x
    x = 259,660,565,761/232,975
  6. Step 6: Final answer
    x = 1,114,542.62

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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.