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Finding the Third Proportional to 321,581.81 and 635,031.56

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Solution

The third proportional to 321,581.81 and 635,031.56 is: 1,254,004.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,581.81 : 635,031.56 = 635,031.56 : x
  2. Step 2: Convert to fraction form
    321,581.81/635,031.56 = 635,031.56/x
  3. Step 3: Cross multiply
    321,581.81x = 635,031.56 × 635,031.56
  4. Step 4: Simplify right side
    321,581.81x = 403,265,085,371.19
  5. Step 5: Solve for x
    x = 403,265,085,371.19/321,581.81
  6. Step 6: Final answer
    x = 1,254,004.64

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.