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Finding the Third Proportional to 361,748.53 and 785,772.56

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Solution

The third proportional to 361,748.53 and 785,772.56 is: 1,706,816.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,748.53 : 785,772.56 = 785,772.56 : x
  2. Step 2: Convert to fraction form
    361,748.53/785,772.56 = 785,772.56/x
  3. Step 3: Cross multiply
    361,748.53x = 785,772.56 × 785,772.56
  4. Step 4: Simplify right side
    361,748.53x = 617,438,519,977.82
  5. Step 5: Solve for x
    x = 617,438,519,977.82/361,748.53
  6. Step 6: Final answer
    x = 1,706,816.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.