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Finding the Third Proportional to 363,871.13 and 521,035.88

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Solution

The third proportional to 363,871.13 and 521,035.88 is: 746,083.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,871.13 : 521,035.88 = 521,035.88 : x
  2. Step 2: Convert to fraction form
    363,871.13/521,035.88 = 521,035.88/x
  3. Step 3: Cross multiply
    363,871.13x = 521,035.88 × 521,035.88
  4. Step 4: Simplify right side
    363,871.13x = 271,478,383,037.02
  5. Step 5: Solve for x
    x = 271,478,383,037.02/363,871.13
  6. Step 6: Final answer
    x = 746,083.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.