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Finding the Third Proportional to 395,758.77 and 864,098.45

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Solution

The third proportional to 395,758.77 and 864,098.45 is: 1,886,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,758.77 : 864,098.45 = 864,098.45 : x
  2. Step 2: Convert to fraction form
    395,758.77/864,098.45 = 864,098.45/x
  3. Step 3: Cross multiply
    395,758.77x = 864,098.45 × 864,098.45
  4. Step 4: Simplify right side
    395,758.77x = 746,666,125,472.70
  5. Step 5: Solve for x
    x = 746,666,125,472.70/395,758.77
  6. Step 6: Final answer
    x = 1,886,669.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.