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Finding the Third Proportional to 299,135.53 and 448,924.78

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Solution

The third proportional to 299,135.53 and 448,924.78 is: 673,719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,135.53 : 448,924.78 = 448,924.78 : x
  2. Step 2: Convert to fraction form
    299,135.53/448,924.78 = 448,924.78/x
  3. Step 3: Cross multiply
    299,135.53x = 448,924.78 × 448,924.78
  4. Step 4: Simplify right side
    299,135.53x = 201,533,459,220.36
  5. Step 5: Solve for x
    x = 201,533,459,220.36/299,135.53
  6. Step 6: Final answer
    x = 673,719.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.