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Finding the Third Proportional to 297,938.25 and 453,792.38

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Solution

The third proportional to 297,938.25 and 453,792.38 is: 691,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,938.25 : 453,792.38 = 453,792.38 : x
  2. Step 2: Convert to fraction form
    297,938.25/453,792.38 = 453,792.38/x
  3. Step 3: Cross multiply
    297,938.25x = 453,792.38 × 453,792.38
  4. Step 4: Simplify right side
    297,938.25x = 205,927,519,608.14
  5. Step 5: Solve for x
    x = 205,927,519,608.14/297,938.25
  6. Step 6: Final answer
    x = 691,175.17

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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.