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Finding the Third Proportional to 232,959 and 509,535

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Solution

The third proportional to 232,959 and 509,535 is: 1,114,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,959 : 509,535 = 509,535 : x
  2. Step 2: Convert to fraction form
    232,959/509,535 = 509,535/x
  3. Step 3: Cross multiply
    232,959x = 509,535 × 509,535
  4. Step 4: Simplify right side
    232,959x = 259,625,916,225
  5. Step 5: Solve for x
    x = 259,625,916,225/232,959
  6. Step 6: Final answer
    x = 1,114,470.43

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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.