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Finding the Third Proportional to 729,457.50 and 1,571,271.75

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Solution

The third proportional to 729,457.50 and 1,571,271.75 is: 3,384,563.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,457.50 : 1,571,271.75 = 1,571,271.75 : x
  2. Step 2: Convert to fraction form
    729,457.50/1,571,271.75 = 1,571,271.75/x
  3. Step 3: Cross multiply
    729,457.50x = 1,571,271.75 × 1,571,271.75
  4. Step 4: Simplify right side
    729,457.50x = 2,468,894,912,348.06
  5. Step 5: Solve for x
    x = 2,468,894,912,348.06/729,457.50
  6. Step 6: Final answer
    x = 3,384,563.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.