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Finding the Third Proportional to 363,591 and 849,199.13

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Solution

The third proportional to 363,591 and 849,199.13 is: 1,983,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,591 : 849,199.13 = 849,199.13 : x
  2. Step 2: Convert to fraction form
    363,591/849,199.13 = 849,199.13/x
  3. Step 3: Cross multiply
    363,591x = 849,199.13 × 849,199.13
  4. Step 4: Simplify right side
    363,591x = 721,139,153,900.77
  5. Step 5: Solve for x
    x = 721,139,153,900.77/363,591
  6. Step 6: Final answer
    x = 1,983,380.10

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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.