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Finding the Third Proportional to 336,769.50 and 731,670

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Solution

The third proportional to 336,769.50 and 731,670 is: 1,589,636.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,769.50 : 731,670 = 731,670 : x
  2. Step 2: Convert to fraction form
    336,769.50/731,670 = 731,670/x
  3. Step 3: Cross multiply
    336,769.50x = 731,670 × 731,670
  4. Step 4: Simplify right side
    336,769.50x = 535,340,988,900
  5. Step 5: Solve for x
    x = 535,340,988,900/336,769.50
  6. Step 6: Final answer
    x = 1,589,636.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.