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Finding the Third Proportional to 205,470 and 441,495

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Solution

The third proportional to 205,470 and 441,495 is: 948,643.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,470 : 441,495 = 441,495 : x
  2. Step 2: Convert to fraction form
    205,470/441,495 = 441,495/x
  3. Step 3: Cross multiply
    205,470x = 441,495 × 441,495
  4. Step 4: Simplify right side
    205,470x = 194,917,835,025
  5. Step 5: Solve for x
    x = 194,917,835,025/205,470
  6. Step 6: Final answer
    x = 948,643.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.