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Finding the Third Proportional to 205,803 and 444,411

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Solution

The third proportional to 205,803 and 444,411 is: 959,661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,803 : 444,411 = 444,411 : x
  2. Step 2: Convert to fraction form
    205,803/444,411 = 444,411/x
  3. Step 3: Cross multiply
    205,803x = 444,411 × 444,411
  4. Step 4: Simplify right side
    205,803x = 197,501,136,921
  5. Step 5: Solve for x
    x = 197,501,136,921/205,803
  6. Step 6: Final answer
    x = 959,661.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.