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Finding the Third Proportional to 338,822 and 451,702

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Solution

The third proportional to 338,822 and 451,702 is: 602,188.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,822 : 451,702 = 451,702 : x
  2. Step 2: Convert to fraction form
    338,822/451,702 = 451,702/x
  3. Step 3: Cross multiply
    338,822x = 451,702 × 451,702
  4. Step 4: Simplify right side
    338,822x = 204,034,696,804
  5. Step 5: Solve for x
    x = 204,034,696,804/338,822
  6. Step 6: Final answer
    x = 602,188.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.