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Finding the Third Proportional to 573,783.75 and 1,260,805.50

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Solution

The third proportional to 573,783.75 and 1,260,805.50 is: 2,770,434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,783.75 : 1,260,805.50 = 1,260,805.50 : x
  2. Step 2: Convert to fraction form
    573,783.75/1,260,805.50 = 1,260,805.50/x
  3. Step 3: Cross multiply
    573,783.75x = 1,260,805.50 × 1,260,805.50
  4. Step 4: Simplify right side
    573,783.75x = 1,589,630,508,830.25
  5. Step 5: Solve for x
    x = 1,589,630,508,830.25/573,783.75
  6. Step 6: Final answer
    x = 2,770,434.87

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Why These Related Problems?

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