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Finding the Third Proportional to 205,608 and 452,688

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Solution

The third proportional to 205,608 and 452,688 is: 996,685.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,608 : 452,688 = 452,688 : x
  2. Step 2: Convert to fraction form
    205,608/452,688 = 452,688/x
  3. Step 3: Cross multiply
    205,608x = 452,688 × 452,688
  4. Step 4: Simplify right side
    205,608x = 204,926,425,344
  5. Step 5: Solve for x
    x = 204,926,425,344/205,608
  6. Step 6: Final answer
    x = 996,685.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.