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Finding the Third Proportional to 299,331 and 448,980.75

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Solution

The third proportional to 299,331 and 448,980.75 is: 673,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,331 : 448,980.75 = 448,980.75 : x
  2. Step 2: Convert to fraction form
    299,331/448,980.75 = 448,980.75/x
  3. Step 3: Cross multiply
    299,331x = 448,980.75 × 448,980.75
  4. Step 4: Simplify right side
    299,331x = 201,583,713,870.56
  5. Step 5: Solve for x
    x = 201,583,713,870.56/299,331
  6. Step 6: Final answer
    x = 673,447.50

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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.