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Finding the Third Proportional to 299,151 and 447,709.50

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Solution

The third proportional to 299,151 and 447,709.50 is: 670,042.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,151 : 447,709.50 = 447,709.50 : x
  2. Step 2: Convert to fraction form
    299,151/447,709.50 = 447,709.50/x
  3. Step 3: Cross multiply
    299,151x = 447,709.50 × 447,709.50
  4. Step 4: Simplify right side
    299,151x = 200,443,796,390.25
  5. Step 5: Solve for x
    x = 200,443,796,390.25/299,151
  6. Step 6: Final answer
    x = 670,042.21

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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.