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Finding the Third Proportional to 204,348 and 446,010

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Solution

The third proportional to 204,348 and 446,010 is: 973,461.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,348 : 446,010 = 446,010 : x
  2. Step 2: Convert to fraction form
    204,348/446,010 = 446,010/x
  3. Step 3: Cross multiply
    204,348x = 446,010 × 446,010
  4. Step 4: Simplify right side
    204,348x = 198,924,920,100
  5. Step 5: Solve for x
    x = 198,924,920,100/204,348
  6. Step 6: Final answer
    x = 973,461.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.