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Finding the Third Proportional to 232,868 and 509,323

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Solution

The third proportional to 232,868 and 509,323 is: 1,113,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,868 : 509,323 = 509,323 : x
  2. Step 2: Convert to fraction form
    232,868/509,323 = 509,323/x
  3. Step 3: Cross multiply
    232,868x = 509,323 × 509,323
  4. Step 4: Simplify right side
    232,868x = 259,409,918,329
  5. Step 5: Solve for x
    x = 259,409,918,329/232,868
  6. Step 6: Final answer
    x = 1,113,978.38

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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.