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Finding the Third Proportional to 414,954 and 658,719

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Solution

The third proportional to 414,954 and 658,719 is: 1,045,683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,954 : 658,719 = 658,719 : x
  2. Step 2: Convert to fraction form
    414,954/658,719 = 658,719/x
  3. Step 3: Cross multiply
    414,954x = 658,719 × 658,719
  4. Step 4: Simplify right side
    414,954x = 433,910,720,961
  5. Step 5: Solve for x
    x = 433,910,720,961/414,954
  6. Step 6: Final answer
    x = 1,045,683.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.