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Finding the Third Proportional to 326,744 and 499,726

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Solution

The third proportional to 326,744 and 499,726 is: 764,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,744 : 499,726 = 499,726 : x
  2. Step 2: Convert to fraction form
    326,744/499,726 = 499,726/x
  3. Step 3: Cross multiply
    326,744x = 499,726 × 499,726
  4. Step 4: Simplify right side
    326,744x = 249,726,075,076
  5. Step 5: Solve for x
    x = 249,726,075,076/326,744
  6. Step 6: Final answer
    x = 764,286.64

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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.