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Finding the Third Proportional to 204,746 and 442,786

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Solution

The third proportional to 204,746 and 442,786 is: 957,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,746 : 442,786 = 442,786 : x
  2. Step 2: Convert to fraction form
    204,746/442,786 = 442,786/x
  3. Step 3: Cross multiply
    204,746x = 442,786 × 442,786
  4. Step 4: Simplify right side
    204,746x = 196,059,441,796
  5. Step 5: Solve for x
    x = 196,059,441,796/204,746
  6. Step 6: Final answer
    x = 957,573.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.