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Finding the Third Proportional to 221,683 and 461,057

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Solution

The third proportional to 221,683 and 461,057 is: 958,907.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,683 : 461,057 = 461,057 : x
  2. Step 2: Convert to fraction form
    221,683/461,057 = 461,057/x
  3. Step 3: Cross multiply
    221,683x = 461,057 × 461,057
  4. Step 4: Simplify right side
    221,683x = 212,573,557,249
  5. Step 5: Solve for x
    x = 212,573,557,249/221,683
  6. Step 6: Final answer
    x = 958,907.80

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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.