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Finding the Third Proportional to 515,729.25 and 788,419.50

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Solution

The third proportional to 515,729.25 and 788,419.50 is: 1,205,293.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,729.25 : 788,419.50 = 788,419.50 : x
  2. Step 2: Convert to fraction form
    515,729.25/788,419.50 = 788,419.50/x
  3. Step 3: Cross multiply
    515,729.25x = 788,419.50 × 788,419.50
  4. Step 4: Simplify right side
    515,729.25x = 621,605,307,980.25
  5. Step 5: Solve for x
    x = 621,605,307,980.25/515,729.25
  6. Step 6: Final answer
    x = 1,205,293.88

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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.