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Finding the Third Proportional to 454,956.75 and 683,893.13

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Solution

The third proportional to 454,956.75 and 683,893.13 is: 1,028,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,956.75 : 683,893.13 = 683,893.13 : x
  2. Step 2: Convert to fraction form
    454,956.75/683,893.13 = 683,893.13/x
  3. Step 3: Cross multiply
    454,956.75x = 683,893.13 × 683,893.13
  4. Step 4: Simplify right side
    454,956.75x = 467,709,806,422.27
  5. Step 5: Solve for x
    x = 467,709,806,422.27/454,956.75
  6. Step 6: Final answer
    x = 1,028,031.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.