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Finding the Third Proportional to 326,072 and 486,100

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Solution

The third proportional to 326,072 and 486,100 is: 724,665.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,072 : 486,100 = 486,100 : x
  2. Step 2: Convert to fraction form
    326,072/486,100 = 486,100/x
  3. Step 3: Cross multiply
    326,072x = 486,100 × 486,100
  4. Step 4: Simplify right side
    326,072x = 236,293,210,000
  5. Step 5: Solve for x
    x = 236,293,210,000/326,072
  6. Step 6: Final answer
    x = 724,665.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.