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Finding the Third Proportional to 788,311.50 and 1,723,830

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Solution

The third proportional to 788,311.50 and 1,723,830 is: 3,769,563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,311.50 : 1,723,830 = 1,723,830 : x
  2. Step 2: Convert to fraction form
    788,311.50/1,723,830 = 1,723,830/x
  3. Step 3: Cross multiply
    788,311.50x = 1,723,830 × 1,723,830
  4. Step 4: Simplify right side
    788,311.50x = 2,971,589,868,900
  5. Step 5: Solve for x
    x = 2,971,589,868,900/788,311.50
  6. Step 6: Final answer
    x = 3,769,563.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.