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Finding the Third Proportional to 326,074 and 486,102

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Solution

The third proportional to 326,074 and 486,102 is: 724,667.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,074 : 486,102 = 486,102 : x
  2. Step 2: Convert to fraction form
    326,074/486,102 = 486,102/x
  3. Step 3: Cross multiply
    326,074x = 486,102 × 486,102
  4. Step 4: Simplify right side
    326,074x = 236,295,154,404
  5. Step 5: Solve for x
    x = 236,295,154,404/326,074
  6. Step 6: Final answer
    x = 724,667.27

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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.