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Finding the Third Proportional to 300,813.75 and 521,158.50

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Solution

The third proportional to 300,813.75 and 521,158.50 is: 902,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,813.75 : 521,158.50 = 521,158.50 : x
  2. Step 2: Convert to fraction form
    300,813.75/521,158.50 = 521,158.50/x
  3. Step 3: Cross multiply
    300,813.75x = 521,158.50 × 521,158.50
  4. Step 4: Simplify right side
    300,813.75x = 271,606,182,122.25
  5. Step 5: Solve for x
    x = 271,606,182,122.25/300,813.75
  6. Step 6: Final answer
    x = 902,904.81

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These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.