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Finding the Third Proportional to 567,184.50 and 850,776.75

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Solution

The third proportional to 567,184.50 and 850,776.75 is: 1,276,165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,184.50 : 850,776.75 = 850,776.75 : x
  2. Step 2: Convert to fraction form
    567,184.50/850,776.75 = 850,776.75/x
  3. Step 3: Cross multiply
    567,184.50x = 850,776.75 × 850,776.75
  4. Step 4: Simplify right side
    567,184.50x = 723,821,078,340.56
  5. Step 5: Solve for x
    x = 723,821,078,340.56/567,184.50
  6. Step 6: Final answer
    x = 1,276,165.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.