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Finding the Third Proportional to 387,099.75 and 833,521.88

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Solution

The third proportional to 387,099.75 and 833,521.88 is: 1,794,779.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,099.75 : 833,521.88 = 833,521.88 : x
  2. Step 2: Convert to fraction form
    387,099.75/833,521.88 = 833,521.88/x
  3. Step 3: Cross multiply
    387,099.75x = 833,521.88 × 833,521.88
  4. Step 4: Simplify right side
    387,099.75x = 694,758,716,103.52
  5. Step 5: Solve for x
    x = 694,758,716,103.52/387,099.75
  6. Step 6: Final answer
    x = 1,794,779.55

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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.