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Finding the Third Proportional to 427,673.25 and 994,447.13

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Solution

The third proportional to 427,673.25 and 994,447.13 is: 2,312,337.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,673.25 : 994,447.13 = 994,447.13 : x
  2. Step 2: Convert to fraction form
    427,673.25/994,447.13 = 994,447.13/x
  3. Step 3: Cross multiply
    427,673.25x = 994,447.13 × 994,447.13
  4. Step 4: Simplify right side
    427,673.25x = 988,925,084,420.77
  5. Step 5: Solve for x
    x = 988,925,084,420.77/427,673.25
  6. Step 6: Final answer
    x = 2,312,337.95

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.