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Finding the Third Proportional to 205,664 and 450,720

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Solution

The third proportional to 205,664 and 450,720 is: 987,768.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,664 : 450,720 = 450,720 : x
  2. Step 2: Convert to fraction form
    205,664/450,720 = 450,720/x
  3. Step 3: Cross multiply
    205,664x = 450,720 × 450,720
  4. Step 4: Simplify right side
    205,664x = 203,148,518,400
  5. Step 5: Solve for x
    x = 203,148,518,400/205,664
  6. Step 6: Final answer
    x = 987,768.97

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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.