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Finding the Third Proportional to 232,987 and 509,593

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Solution

The third proportional to 232,987 and 509,593 is: 1,114,590.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,987 : 509,593 = 509,593 : x
  2. Step 2: Convert to fraction form
    232,987/509,593 = 509,593/x
  3. Step 3: Cross multiply
    232,987x = 509,593 × 509,593
  4. Step 4: Simplify right side
    232,987x = 259,685,025,649
  5. Step 5: Solve for x
    x = 259,685,025,649/232,987
  6. Step 6: Final answer
    x = 1,114,590.19

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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.