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Finding the Third Proportional to 205,128 and 447,264

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Solution

The third proportional to 205,128 and 447,264 is: 975,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,128 : 447,264 = 447,264 : x
  2. Step 2: Convert to fraction form
    205,128/447,264 = 447,264/x
  3. Step 3: Cross multiply
    205,128x = 447,264 × 447,264
  4. Step 4: Simplify right side
    205,128x = 200,045,085,696
  5. Step 5: Solve for x
    x = 200,045,085,696/205,128
  6. Step 6: Final answer
    x = 975,220.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.