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Finding the Third Proportional to 533,817 and 1,174,585.50

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Solution

The third proportional to 533,817 and 1,174,585.50 is: 2,584,501.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,817 : 1,174,585.50 = 1,174,585.50 : x
  2. Step 2: Convert to fraction form
    533,817/1,174,585.50 = 1,174,585.50/x
  3. Step 3: Cross multiply
    533,817x = 1,174,585.50 × 1,174,585.50
  4. Step 4: Simplify right side
    533,817x = 1,379,651,096,810.25
  5. Step 5: Solve for x
    x = 1,379,651,096,810.25/533,817
  6. Step 6: Final answer
    x = 2,584,501.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.