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Finding the Third Proportional to 205,364 and 451,048

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Solution

The third proportional to 205,364 and 451,048 is: 990,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,364 : 451,048 = 451,048 : x
  2. Step 2: Convert to fraction form
    205,364/451,048 = 451,048/x
  3. Step 3: Cross multiply
    205,364x = 451,048 × 451,048
  4. Step 4: Simplify right side
    205,364x = 203,444,298,304
  5. Step 5: Solve for x
    x = 203,444,298,304/205,364
  6. Step 6: Final answer
    x = 990,652.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.