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Finding the Third Proportional to 327,722.63 and 442,776.38

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Solution

The third proportional to 327,722.63 and 442,776.38 is: 598,222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,722.63 : 442,776.38 = 442,776.38 : x
  2. Step 2: Convert to fraction form
    327,722.63/442,776.38 = 442,776.38/x
  3. Step 3: Cross multiply
    327,722.63x = 442,776.38 × 442,776.38
  4. Step 4: Simplify right side
    327,722.63x = 196,050,918,258.14
  5. Step 5: Solve for x
    x = 196,050,918,258.14/327,722.63
  6. Step 6: Final answer
    x = 598,222.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.