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Finding the Third Proportional to 332,982 and 540,995

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Solution

The third proportional to 332,982 and 540,995 is: 878,953.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,982 : 540,995 = 540,995 : x
  2. Step 2: Convert to fraction form
    332,982/540,995 = 540,995/x
  3. Step 3: Cross multiply
    332,982x = 540,995 × 540,995
  4. Step 4: Simplify right side
    332,982x = 292,675,590,025
  5. Step 5: Solve for x
    x = 292,675,590,025/332,982
  6. Step 6: Final answer
    x = 878,953.19

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.