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Finding the Third Proportional to 322,461 and 483,634.55

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Solution

The third proportional to 322,461 and 483,634.55 is: 725,366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,461 : 483,634.55 = 483,634.55 : x
  2. Step 2: Convert to fraction form
    322,461/483,634.55 = 483,634.55/x
  3. Step 3: Cross multiply
    322,461x = 483,634.55 × 483,634.55
  4. Step 4: Simplify right side
    322,461x = 233,902,374,930.99
  5. Step 5: Solve for x
    x = 233,902,374,930.99/322,461
  6. Step 6: Final answer
    x = 725,366.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.