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Finding the Third Proportional to 299,340 and 473,910.75

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Solution

The third proportional to 299,340 and 473,910.75 is: 750,288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,340 : 473,910.75 = 473,910.75 : x
  2. Step 2: Convert to fraction form
    299,340/473,910.75 = 473,910.75/x
  3. Step 3: Cross multiply
    299,340x = 473,910.75 × 473,910.75
  4. Step 4: Simplify right side
    299,340x = 224,591,398,965.56
  5. Step 5: Solve for x
    x = 224,591,398,965.56/299,340
  6. Step 6: Final answer
    x = 750,288.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.