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Finding the Third Proportional to 434,212 and 619,782

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Solution

The third proportional to 434,212 and 619,782 is: 884,659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,212 : 619,782 = 619,782 : x
  2. Step 2: Convert to fraction form
    434,212/619,782 = 619,782/x
  3. Step 3: Cross multiply
    434,212x = 619,782 × 619,782
  4. Step 4: Simplify right side
    434,212x = 384,129,727,524
  5. Step 5: Solve for x
    x = 384,129,727,524/434,212
  6. Step 6: Final answer
    x = 884,659.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.