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Finding the Third Proportional to 322,066.13 and 482,901.75

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Solution

The third proportional to 322,066.13 and 482,901.75 is: 724,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,066.13 : 482,901.75 = 482,901.75 : x
  2. Step 2: Convert to fraction form
    322,066.13/482,901.75 = 482,901.75/x
  3. Step 3: Cross multiply
    322,066.13x = 482,901.75 × 482,901.75
  4. Step 4: Simplify right side
    322,066.13x = 233,194,100,153.06
  5. Step 5: Solve for x
    x = 233,194,100,153.06/322,066.13
  6. Step 6: Final answer
    x = 724,056.59

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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.