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Finding the Third Proportional to 205,297.03 and 438,966.84

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Solution

The third proportional to 205,297.03 and 438,966.84 is: 938,600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,297.03 : 438,966.84 = 438,966.84 : x
  2. Step 2: Convert to fraction form
    205,297.03/438,966.84 = 438,966.84/x
  3. Step 3: Cross multiply
    205,297.03x = 438,966.84 × 438,966.84
  4. Step 4: Simplify right side
    205,297.03x = 192,691,889,911.84
  5. Step 5: Solve for x
    x = 192,691,889,911.84/205,297.03
  6. Step 6: Final answer
    x = 938,600.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.