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Finding the Third Proportional to 273,486 and 414,002

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Solution

The third proportional to 273,486 and 414,002 is: 626,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,486 : 414,002 = 414,002 : x
  2. Step 2: Convert to fraction form
    273,486/414,002 = 414,002/x
  3. Step 3: Cross multiply
    273,486x = 414,002 × 414,002
  4. Step 4: Simplify right side
    273,486x = 171,397,656,004
  5. Step 5: Solve for x
    x = 171,397,656,004/273,486
  6. Step 6: Final answer
    x = 626,714.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.