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Finding the Third Proportional to 386,378.88 and 829,889.75

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Solution

The third proportional to 386,378.88 and 829,889.75 is: 1,782,491.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,378.88 : 829,889.75 = 829,889.75 : x
  2. Step 2: Convert to fraction form
    386,378.88/829,889.75 = 829,889.75/x
  3. Step 3: Cross multiply
    386,378.88x = 829,889.75 × 829,889.75
  4. Step 4: Simplify right side
    386,378.88x = 688,716,997,155.06
  5. Step 5: Solve for x
    x = 688,716,997,155.06/386,378.88
  6. Step 6: Final answer
    x = 1,782,491.34

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