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Finding the Third Proportional to 326,014 and 498,708

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Solution

The third proportional to 326,014 and 498,708 is: 762,880.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,014 : 498,708 = 498,708 : x
  2. Step 2: Convert to fraction form
    326,014/498,708 = 498,708/x
  3. Step 3: Cross multiply
    326,014x = 498,708 × 498,708
  4. Step 4: Simplify right side
    326,014x = 248,709,669,264
  5. Step 5: Solve for x
    x = 248,709,669,264/326,014
  6. Step 6: Final answer
    x = 762,880.33

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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.