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Finding the Third Proportional to 233,010 and 509,631

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Solution

The third proportional to 233,010 and 509,631 is: 1,114,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,010 : 509,631 = 509,631 : x
  2. Step 2: Convert to fraction form
    233,010/509,631 = 509,631/x
  3. Step 3: Cross multiply
    233,010x = 509,631 × 509,631
  4. Step 4: Simplify right side
    233,010x = 259,723,756,161
  5. Step 5: Solve for x
    x = 259,723,756,161/233,010
  6. Step 6: Final answer
    x = 1,114,646.39

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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.