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Finding the Third Proportional to 414,492 and 619,176

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Solution

The third proportional to 414,492 and 619,176 is: 924,936.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,492 : 619,176 = 619,176 : x
  2. Step 2: Convert to fraction form
    414,492/619,176 = 619,176/x
  3. Step 3: Cross multiply
    414,492x = 619,176 × 619,176
  4. Step 4: Simplify right side
    414,492x = 383,378,918,976
  5. Step 5: Solve for x
    x = 383,378,918,976/414,492
  6. Step 6: Final answer
    x = 924,936.84

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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.