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Finding the Third Proportional to 414,486 and 619,173

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Solution

The third proportional to 414,486 and 619,173 is: 924,941.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,486 : 619,173 = 619,173 : x
  2. Step 2: Convert to fraction form
    414,486/619,173 = 619,173/x
  3. Step 3: Cross multiply
    414,486x = 619,173 × 619,173
  4. Step 4: Simplify right side
    414,486x = 383,375,203,929
  5. Step 5: Solve for x
    x = 383,375,203,929/414,486
  6. Step 6: Final answer
    x = 924,941.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.