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Finding the Third Proportional to 299,123.51 and 448,902.63

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Solution

The third proportional to 299,123.51 and 448,902.63 is: 673,680.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,123.51 : 448,902.63 = 448,902.63 : x
  2. Step 2: Convert to fraction form
    299,123.51/448,902.63 = 448,902.63/x
  3. Step 3: Cross multiply
    299,123.51x = 448,902.63 × 448,902.63
  4. Step 4: Simplify right side
    299,123.51x = 201,513,573,745.99
  5. Step 5: Solve for x
    x = 201,513,573,745.99/299,123.51
  6. Step 6: Final answer
    x = 673,680.16

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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.