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Finding the Third Proportional to 215,544 and 465,504

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Solution

The third proportional to 215,544 and 465,504 is: 1,005,335.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,544 : 465,504 = 465,504 : x
  2. Step 2: Convert to fraction form
    215,544/465,504 = 465,504/x
  3. Step 3: Cross multiply
    215,544x = 465,504 × 465,504
  4. Step 4: Simplify right side
    215,544x = 216,693,974,016
  5. Step 5: Solve for x
    x = 216,693,974,016/215,544
  6. Step 6: Final answer
    x = 1,005,335.22

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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.