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Finding the Third Proportional to 232,275 and 508,838

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Solution

The third proportional to 232,275 and 508,838 is: 1,114,696.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,275 : 508,838 = 508,838 : x
  2. Step 2: Convert to fraction form
    232,275/508,838 = 508,838/x
  3. Step 3: Cross multiply
    232,275x = 508,838 × 508,838
  4. Step 4: Simplify right side
    232,275x = 258,916,110,244
  5. Step 5: Solve for x
    x = 258,916,110,244/232,275
  6. Step 6: Final answer
    x = 1,114,696.42

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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.