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Finding the Third Proportional to 576,137.75 and 829,945.75

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Solution

The third proportional to 576,137.75 and 829,945.75 is: 1,195,564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,137.75 : 829,945.75 = 829,945.75 : x
  2. Step 2: Convert to fraction form
    576,137.75/829,945.75 = 829,945.75/x
  3. Step 3: Cross multiply
    576,137.75x = 829,945.75 × 829,945.75
  4. Step 4: Simplify right side
    576,137.75x = 688,809,947,943.06
  5. Step 5: Solve for x
    x = 688,809,947,943.06/576,137.75
  6. Step 6: Final answer
    x = 1,195,564.69

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.