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Finding the Third Proportional to 232,990 and 509,598

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Solution

The third proportional to 232,990 and 509,598 is: 1,114,597.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,990 : 509,598 = 509,598 : x
  2. Step 2: Convert to fraction form
    232,990/509,598 = 509,598/x
  3. Step 3: Cross multiply
    232,990x = 509,598 × 509,598
  4. Step 4: Simplify right side
    232,990x = 259,690,121,604
  5. Step 5: Solve for x
    x = 259,690,121,604/232,990
  6. Step 6: Final answer
    x = 1,114,597.71

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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.