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Finding the Third Proportional to 215,564 and 465,544

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Solution

The third proportional to 215,564 and 465,544 is: 1,005,414.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,564 : 465,544 = 465,544 : x
  2. Step 2: Convert to fraction form
    215,564/465,544 = 465,544/x
  3. Step 3: Cross multiply
    215,564x = 465,544 × 465,544
  4. Step 4: Simplify right side
    215,564x = 216,731,215,936
  5. Step 5: Solve for x
    x = 216,731,215,936/215,564
  6. Step 6: Final answer
    x = 1,005,414.71

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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.