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Finding the Third Proportional to 395,527 and 628,859

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Solution

The third proportional to 395,527 and 628,859 is: 999,839.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,527 : 628,859 = 628,859 : x
  2. Step 2: Convert to fraction form
    395,527/628,859 = 628,859/x
  3. Step 3: Cross multiply
    395,527x = 628,859 × 628,859
  4. Step 4: Simplify right side
    395,527x = 395,463,641,881
  5. Step 5: Solve for x
    x = 395,463,641,881/395,527
  6. Step 6: Final answer
    x = 999,839.81

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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.