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Finding the Third Proportional to 326,012 and 498,706

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Solution

The third proportional to 326,012 and 498,706 is: 762,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,012 : 498,706 = 498,706 : x
  2. Step 2: Convert to fraction form
    326,012/498,706 = 498,706/x
  3. Step 3: Cross multiply
    326,012x = 498,706 × 498,706
  4. Step 4: Simplify right side
    326,012x = 248,707,674,436
  5. Step 5: Solve for x
    x = 248,707,674,436/326,012
  6. Step 6: Final answer
    x = 762,878.90

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.