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Finding the Third Proportional to 232,966.13 and 509,550.75

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Solution

The third proportional to 232,966.13 and 509,550.75 is: 1,114,505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,966.13 : 509,550.75 = 509,550.75 : x
  2. Step 2: Convert to fraction form
    232,966.13/509,550.75 = 509,550.75/x
  3. Step 3: Cross multiply
    232,966.13x = 509,550.75 × 509,550.75
  4. Step 4: Simplify right side
    232,966.13x = 259,641,966,825.56
  5. Step 5: Solve for x
    x = 259,641,966,825.56/232,966.13
  6. Step 6: Final answer
    x = 1,114,505.24

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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.