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Finding the Third Proportional to 205,530 and 450,335

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Solution

The third proportional to 205,530 and 450,335 is: 986,725.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,530 : 450,335 = 450,335 : x
  2. Step 2: Convert to fraction form
    205,530/450,335 = 450,335/x
  3. Step 3: Cross multiply
    205,530x = 450,335 × 450,335
  4. Step 4: Simplify right side
    205,530x = 202,801,612,225
  5. Step 5: Solve for x
    x = 202,801,612,225/205,530
  6. Step 6: Final answer
    x = 986,725.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.