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Finding the Third Proportional to 303,652.41 and 664,508.63

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Solution

The third proportional to 303,652.41 and 664,508.63 is: 1,454,201.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,652.41 : 664,508.63 = 664,508.63 : x
  2. Step 2: Convert to fraction form
    303,652.41/664,508.63 = 664,508.63/x
  3. Step 3: Cross multiply
    303,652.41x = 664,508.63 × 664,508.63
  4. Step 4: Simplify right side
    303,652.41x = 441,571,712,699.39
  5. Step 5: Solve for x
    x = 441,571,712,699.39/303,652.41
  6. Step 6: Final answer
    x = 1,454,201.26

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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.