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Finding the Third Proportional to 233,187 and 509,870

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Solution

The third proportional to 233,187 and 509,870 is: 1,114,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,187 : 509,870 = 509,870 : x
  2. Step 2: Convert to fraction form
    233,187/509,870 = 509,870/x
  3. Step 3: Cross multiply
    233,187x = 509,870 × 509,870
  4. Step 4: Simplify right side
    233,187x = 259,967,416,900
  5. Step 5: Solve for x
    x = 259,967,416,900/233,187
  6. Step 6: Final answer
    x = 1,114,845.24

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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.