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Finding the Third Proportional to 295,813.69 and 647,601.75

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Solution

The third proportional to 295,813.69 and 647,601.75 is: 1,417,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,813.69 : 647,601.75 = 647,601.75 : x
  2. Step 2: Convert to fraction form
    295,813.69/647,601.75 = 647,601.75/x
  3. Step 3: Cross multiply
    295,813.69x = 647,601.75 × 647,601.75
  4. Step 4: Simplify right side
    295,813.69x = 419,388,026,603.06
  5. Step 5: Solve for x
    x = 419,388,026,603.06/295,813.69
  6. Step 6: Final answer
    x = 1,417,743.82

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