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Finding the Third Proportional to 406,954 and 622,527

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Solution

The third proportional to 406,954 and 622,527 is: 952,294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,954 : 622,527 = 622,527 : x
  2. Step 2: Convert to fraction form
    406,954/622,527 = 622,527/x
  3. Step 3: Cross multiply
    406,954x = 622,527 × 622,527
  4. Step 4: Simplify right side
    406,954x = 387,539,865,729
  5. Step 5: Solve for x
    x = 387,539,865,729/406,954
  6. Step 6: Final answer
    x = 952,294.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.