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Finding the Third Proportional to 299,139.33 and 444,011.63

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Solution

The third proportional to 299,139.33 and 444,011.63 is: 659,045.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,139.33 : 444,011.63 = 444,011.63 : x
  2. Step 2: Convert to fraction form
    299,139.33/444,011.63 = 444,011.63/x
  3. Step 3: Cross multiply
    299,139.33x = 444,011.63 × 444,011.63
  4. Step 4: Simplify right side
    299,139.33x = 197,146,323,135.14
  5. Step 5: Solve for x
    x = 197,146,323,135.14/299,139.33
  6. Step 6: Final answer
    x = 659,045.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.