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Finding the Third Proportional to 541,920.38 and 833,292.56

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Solution

The third proportional to 541,920.38 and 833,292.56 is: 1,281,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,920.38 : 833,292.56 = 833,292.56 : x
  2. Step 2: Convert to fraction form
    541,920.38/833,292.56 = 833,292.56/x
  3. Step 3: Cross multiply
    541,920.38x = 833,292.56 × 833,292.56
  4. Step 4: Simplify right side
    541,920.38x = 694,376,494,717.82
  5. Step 5: Solve for x
    x = 694,376,494,717.82/541,920.38
  6. Step 6: Final answer
    x = 1,281,325.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.