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Finding the Third Proportional to 515,451 and 788,485.50

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Solution

The third proportional to 515,451 and 788,485.50 is: 1,206,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,451 : 788,485.50 = 788,485.50 : x
  2. Step 2: Convert to fraction form
    515,451/788,485.50 = 788,485.50/x
  3. Step 3: Cross multiply
    515,451x = 788,485.50 × 788,485.50
  4. Step 4: Simplify right side
    515,451x = 621,709,383,710.25
  5. Step 5: Solve for x
    x = 621,709,383,710.25/515,451
  6. Step 6: Final answer
    x = 1,206,146.43

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.