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Finding the Third Proportional to 205,696 and 427,776

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Solution

The third proportional to 205,696 and 427,776 is: 889,625.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,696 : 427,776 = 427,776 : x
  2. Step 2: Convert to fraction form
    205,696/427,776 = 427,776/x
  3. Step 3: Cross multiply
    205,696x = 427,776 × 427,776
  4. Step 4: Simplify right side
    205,696x = 182,992,306,176
  5. Step 5: Solve for x
    x = 182,992,306,176/205,696
  6. Step 6: Final answer
    x = 889,625.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.