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Finding the Third Proportional to 552,495.75 and 825,339.38

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Solution

The third proportional to 552,495.75 and 825,339.38 is: 1,232,923.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,495.75 : 825,339.38 = 825,339.38 : x
  2. Step 2: Convert to fraction form
    552,495.75/825,339.38 = 825,339.38/x
  3. Step 3: Cross multiply
    552,495.75x = 825,339.38 × 825,339.38
  4. Step 4: Simplify right side
    552,495.75x = 681,185,083,925.39
  5. Step 5: Solve for x
    x = 681,185,083,925.39/552,495.75
  6. Step 6: Final answer
    x = 1,232,923.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.