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Finding the Third Proportional to 332,973 and 540,982

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Solution

The third proportional to 332,973 and 540,982 is: 878,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,973 : 540,982 = 540,982 : x
  2. Step 2: Convert to fraction form
    332,973/540,982 = 540,982/x
  3. Step 3: Cross multiply
    332,973x = 540,982 × 540,982
  4. Step 4: Simplify right side
    332,973x = 292,661,524,324
  5. Step 5: Solve for x
    x = 292,661,524,324/332,973
  6. Step 6: Final answer
    x = 878,934.70

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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.