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Finding the Third Proportional to 326,755 and 499,745

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Solution

The third proportional to 326,755 and 499,745 is: 764,319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,755 : 499,745 = 499,745 : x
  2. Step 2: Convert to fraction form
    326,755/499,745 = 499,745/x
  3. Step 3: Cross multiply
    326,755x = 499,745 × 499,745
  4. Step 4: Simplify right side
    326,755x = 249,745,065,025
  5. Step 5: Solve for x
    x = 249,745,065,025/326,755
  6. Step 6: Final answer
    x = 764,319.03

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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.