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Finding the Third Proportional to 522,784.50 and 1,143,982.50

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Solution

The third proportional to 522,784.50 and 1,143,982.50 is: 2,503,318.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,784.50 : 1,143,982.50 = 1,143,982.50 : x
  2. Step 2: Convert to fraction form
    522,784.50/1,143,982.50 = 1,143,982.50/x
  3. Step 3: Cross multiply
    522,784.50x = 1,143,982.50 × 1,143,982.50
  4. Step 4: Simplify right side
    522,784.50x = 1,308,695,960,306.25
  5. Step 5: Solve for x
    x = 1,308,695,960,306.25/522,784.50
  6. Step 6: Final answer
    x = 2,503,318.21

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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.