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Finding the Third Proportional to 326,148 and 498,949

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Solution

The third proportional to 326,148 and 498,949 is: 763,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,148 : 498,949 = 498,949 : x
  2. Step 2: Convert to fraction form
    326,148/498,949 = 498,949/x
  3. Step 3: Cross multiply
    326,148x = 498,949 × 498,949
  4. Step 4: Simplify right side
    326,148x = 248,950,104,601
  5. Step 5: Solve for x
    x = 248,950,104,601/326,148
  6. Step 6: Final answer
    x = 763,304.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.