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Finding the Third Proportional to 232,945.88 and 509,510.25

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Solution

The third proportional to 232,945.88 and 509,510.25 is: 1,114,424.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,945.88 : 509,510.25 = 509,510.25 : x
  2. Step 2: Convert to fraction form
    232,945.88/509,510.25 = 509,510.25/x
  3. Step 3: Cross multiply
    232,945.88x = 509,510.25 × 509,510.25
  4. Step 4: Simplify right side
    232,945.88x = 259,600,694,855.06
  5. Step 5: Solve for x
    x = 259,600,694,855.06/232,945.88
  6. Step 6: Final answer
    x = 1,114,424.95

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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.