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Finding the Third Proportional to 230,343 and 498,411

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Solution

The third proportional to 230,343 and 498,411 is: 1,078,450.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,343 : 498,411 = 498,411 : x
  2. Step 2: Convert to fraction form
    230,343/498,411 = 498,411/x
  3. Step 3: Cross multiply
    230,343x = 498,411 × 498,411
  4. Step 4: Simplify right side
    230,343x = 248,413,524,921
  5. Step 5: Solve for x
    x = 248,413,524,921/230,343
  6. Step 6: Final answer
    x = 1,078,450.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.