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Finding the Third Proportional to 326,757 and 499,748

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Solution

The third proportional to 326,757 and 499,748 is: 764,323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,757 : 499,748 = 499,748 : x
  2. Step 2: Convert to fraction form
    326,757/499,748 = 499,748/x
  3. Step 3: Cross multiply
    326,757x = 499,748 × 499,748
  4. Step 4: Simplify right side
    326,757x = 249,748,063,504
  5. Step 5: Solve for x
    x = 249,748,063,504/326,757
  6. Step 6: Final answer
    x = 764,323.53

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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.