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Finding the Third Proportional to 341,511 and 548,716.50

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Solution

The third proportional to 341,511 and 548,716.50 is: 881,640.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,511 : 548,716.50 = 548,716.50 : x
  2. Step 2: Convert to fraction form
    341,511/548,716.50 = 548,716.50/x
  3. Step 3: Cross multiply
    341,511x = 548,716.50 × 548,716.50
  4. Step 4: Simplify right side
    341,511x = 301,089,797,372.25
  5. Step 5: Solve for x
    x = 301,089,797,372.25/341,511
  6. Step 6: Final answer
    x = 881,640.12

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.