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Finding the Third Proportional to 326,548 and 499,548

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Solution

The third proportional to 326,548 and 499,548 is: 764,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,548 : 499,548 = 499,548 : x
  2. Step 2: Convert to fraction form
    326,548/499,548 = 499,548/x
  3. Step 3: Cross multiply
    326,548x = 499,548 × 499,548
  4. Step 4: Simplify right side
    326,548x = 249,548,204,304
  5. Step 5: Solve for x
    x = 249,548,204,304/326,548
  6. Step 6: Final answer
    x = 764,200.68

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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.