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Finding the Third Proportional to 326,396.63 and 498,973.13

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Solution

The third proportional to 326,396.63 and 498,973.13 is: 762,796.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,396.63 : 498,973.13 = 498,973.13 : x
  2. Step 2: Convert to fraction form
    326,396.63/498,973.13 = 498,973.13/x
  3. Step 3: Cross multiply
    326,396.63x = 498,973.13 × 498,973.13
  4. Step 4: Simplify right side
    326,396.63x = 248,974,179,472.27
  5. Step 5: Solve for x
    x = 248,974,179,472.27/326,396.63
  6. Step 6: Final answer
    x = 762,796.43

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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.