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Finding the Third Proportional to 232,802 and 509,344

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Solution

The third proportional to 232,802 and 509,344 is: 1,114,386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,802 : 509,344 = 509,344 : x
  2. Step 2: Convert to fraction form
    232,802/509,344 = 509,344/x
  3. Step 3: Cross multiply
    232,802x = 509,344 × 509,344
  4. Step 4: Simplify right side
    232,802x = 259,431,310,336
  5. Step 5: Solve for x
    x = 259,431,310,336/232,802
  6. Step 6: Final answer
    x = 1,114,386.09

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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.