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Finding the Third Proportional to 299,688.75 and 637,517.25

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Solution

The third proportional to 299,688.75 and 637,517.25 is: 1,356,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,688.75 : 637,517.25 = 637,517.25 : x
  2. Step 2: Convert to fraction form
    299,688.75/637,517.25 = 637,517.25/x
  3. Step 3: Cross multiply
    299,688.75x = 637,517.25 × 637,517.25
  4. Step 4: Simplify right side
    299,688.75x = 406,428,244,047.56
  5. Step 5: Solve for x
    x = 406,428,244,047.56/299,688.75
  6. Step 6: Final answer
    x = 1,356,167.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.