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Finding the Third Proportional to 363,588.75 and 849,193.88

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Solution

The third proportional to 363,588.75 and 849,193.88 is: 1,983,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,588.75 : 849,193.88 = 849,193.88 : x
  2. Step 2: Convert to fraction form
    363,588.75/849,193.88 = 849,193.88/x
  3. Step 3: Cross multiply
    363,588.75x = 849,193.88 × 849,193.88
  4. Step 4: Simplify right side
    363,588.75x = 721,130,237,337.52
  5. Step 5: Solve for x
    x = 721,130,237,337.52/363,588.75
  6. Step 6: Final answer
    x = 1,983,367.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.