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Finding the Third Proportional to 299,554.88 and 657,132.75

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Solution

The third proportional to 299,554.88 and 657,132.75 is: 1,441,550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,554.88 : 657,132.75 = 657,132.75 : x
  2. Step 2: Convert to fraction form
    299,554.88/657,132.75 = 657,132.75/x
  3. Step 3: Cross multiply
    299,554.88x = 657,132.75 × 657,132.75
  4. Step 4: Simplify right side
    299,554.88x = 431,823,451,122.56
  5. Step 5: Solve for x
    x = 431,823,451,122.56/299,554.88
  6. Step 6: Final answer
    x = 1,441,550.40

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.