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Finding the Third Proportional to 220,740 and 461,466

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Solution

The third proportional to 220,740 and 461,466 is: 964,713.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,740 : 461,466 = 461,466 : x
  2. Step 2: Convert to fraction form
    220,740/461,466 = 461,466/x
  3. Step 3: Cross multiply
    220,740x = 461,466 × 461,466
  4. Step 4: Simplify right side
    220,740x = 212,950,869,156
  5. Step 5: Solve for x
    x = 212,950,869,156/220,740
  6. Step 6: Final answer
    x = 964,713.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.