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Finding the Third Proportional to 458,865 and 993,327.75

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Solution

The third proportional to 458,865 and 993,327.75 is: 2,150,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,865 : 993,327.75 = 993,327.75 : x
  2. Step 2: Convert to fraction form
    458,865/993,327.75 = 993,327.75/x
  3. Step 3: Cross multiply
    458,865x = 993,327.75 × 993,327.75
  4. Step 4: Simplify right side
    458,865x = 986,700,018,920.06
  5. Step 5: Solve for x
    x = 986,700,018,920.06/458,865
  6. Step 6: Final answer
    x = 2,150,305.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.