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Finding the Third Proportional to 363,677 and 795,069.50

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Solution

The third proportional to 363,677 and 795,069.50 is: 1,738,178.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,677 : 795,069.50 = 795,069.50 : x
  2. Step 2: Convert to fraction form
    363,677/795,069.50 = 795,069.50/x
  3. Step 3: Cross multiply
    363,677x = 795,069.50 × 795,069.50
  4. Step 4: Simplify right side
    363,677x = 632,135,509,830.25
  5. Step 5: Solve for x
    x = 632,135,509,830.25/363,677
  6. Step 6: Final answer
    x = 1,738,178.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.