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Finding the Third Proportional to 326,810 and 450,036

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Solution

The third proportional to 326,810 and 450,036 is: 619,725.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,810 : 450,036 = 450,036 : x
  2. Step 2: Convert to fraction form
    326,810/450,036 = 450,036/x
  3. Step 3: Cross multiply
    326,810x = 450,036 × 450,036
  4. Step 4: Simplify right side
    326,810x = 202,532,401,296
  5. Step 5: Solve for x
    x = 202,532,401,296/326,810
  6. Step 6: Final answer
    x = 619,725.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.