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Finding the Third Proportional to 414,452 and 619,119

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Solution

The third proportional to 414,452 and 619,119 is: 924,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,452 : 619,119 = 619,119 : x
  2. Step 2: Convert to fraction form
    414,452/619,119 = 619,119/x
  3. Step 3: Cross multiply
    414,452x = 619,119 × 619,119
  4. Step 4: Simplify right side
    414,452x = 383,308,336,161
  5. Step 5: Solve for x
    x = 383,308,336,161/414,452
  6. Step 6: Final answer
    x = 924,855.80

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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.