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Finding the Third Proportional to 270,222 and 405,480

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Solution

The third proportional to 270,222 and 405,480 is: 608,440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,222 : 405,480 = 405,480 : x
  2. Step 2: Convert to fraction form
    270,222/405,480 = 405,480/x
  3. Step 3: Cross multiply
    270,222x = 405,480 × 405,480
  4. Step 4: Simplify right side
    270,222x = 164,414,030,400
  5. Step 5: Solve for x
    x = 164,414,030,400/270,222
  6. Step 6: Final answer
    x = 608,440.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.