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Finding the Third Proportional to 387,028.13 and 833,049.56

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Solution

The third proportional to 387,028.13 and 833,049.56 is: 1,793,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,028.13 : 833,049.56 = 833,049.56 : x
  2. Step 2: Convert to fraction form
    387,028.13/833,049.56 = 833,049.56/x
  3. Step 3: Cross multiply
    387,028.13x = 833,049.56 × 833,049.56
  4. Step 4: Simplify right side
    387,028.13x = 693,971,573,581.44
  5. Step 5: Solve for x
    x = 693,971,573,581.44/387,028.13
  6. Step 6: Final answer
    x = 1,793,077.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.