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Finding the Third Proportional to 297,833 and 453,769.50

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Solution

The third proportional to 297,833 and 453,769.50 is: 691,349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,833 : 453,769.50 = 453,769.50 : x
  2. Step 2: Convert to fraction form
    297,833/453,769.50 = 453,769.50/x
  3. Step 3: Cross multiply
    297,833x = 453,769.50 × 453,769.50
  4. Step 4: Simplify right side
    297,833x = 205,906,759,130.25
  5. Step 5: Solve for x
    x = 205,906,759,130.25/297,833
  6. Step 6: Final answer
    x = 691,349.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.