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Finding the Third Proportional to 326,754 and 499,743

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Solution

The third proportional to 326,754 and 499,743 is: 764,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,754 : 499,743 = 499,743 : x
  2. Step 2: Convert to fraction form
    326,754/499,743 = 499,743/x
  3. Step 3: Cross multiply
    326,754x = 499,743 × 499,743
  4. Step 4: Simplify right side
    326,754x = 249,743,066,049
  5. Step 5: Solve for x
    x = 249,743,066,049/326,754
  6. Step 6: Final answer
    x = 764,315.25

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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.