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Finding the Third Proportional to 332,976 and 540,987

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Solution

The third proportional to 332,976 and 540,987 is: 878,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,976 : 540,987 = 540,987 : x
  2. Step 2: Convert to fraction form
    332,976/540,987 = 540,987/x
  3. Step 3: Cross multiply
    332,976x = 540,987 × 540,987
  4. Step 4: Simplify right side
    332,976x = 292,666,934,169
  5. Step 5: Solve for x
    x = 292,666,934,169/332,976
  6. Step 6: Final answer
    x = 878,943.03

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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.