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Finding the Third Proportional to 326,741 and 499,723

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Solution

The third proportional to 326,741 and 499,723 is: 764,284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,741 : 499,723 = 499,723 : x
  2. Step 2: Convert to fraction form
    326,741/499,723 = 499,723/x
  3. Step 3: Cross multiply
    326,741x = 499,723 × 499,723
  4. Step 4: Simplify right side
    326,741x = 249,723,076,729
  5. Step 5: Solve for x
    x = 249,723,076,729/326,741
  6. Step 6: Final answer
    x = 764,284.48

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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.