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Finding the Third Proportional to 232,268 and 508,823

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Solution

The third proportional to 232,268 and 508,823 is: 1,114,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,268 : 508,823 = 508,823 : x
  2. Step 2: Convert to fraction form
    232,268/508,823 = 508,823/x
  3. Step 3: Cross multiply
    232,268x = 508,823 × 508,823
  4. Step 4: Simplify right side
    232,268x = 258,900,845,329
  5. Step 5: Solve for x
    x = 258,900,845,329/232,268
  6. Step 6: Final answer
    x = 1,114,664.29

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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.