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Finding the Third Proportional to 543,915 and 764,599.50

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Solution

The third proportional to 543,915 and 764,599.50 is: 1,074,823.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,915 : 764,599.50 = 764,599.50 : x
  2. Step 2: Convert to fraction form
    543,915/764,599.50 = 764,599.50/x
  3. Step 3: Cross multiply
    543,915x = 764,599.50 × 764,599.50
  4. Step 4: Simplify right side
    543,915x = 584,612,395,400.25
  5. Step 5: Solve for x
    x = 584,612,395,400.25/543,915
  6. Step 6: Final answer
    x = 1,074,823.08

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.