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Finding the Third Proportional to 332,974.50 and 540,984

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Solution

The third proportional to 332,974.50 and 540,984 is: 878,937.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,974.50 : 540,984 = 540,984 : x
  2. Step 2: Convert to fraction form
    332,974.50/540,984 = 540,984/x
  3. Step 3: Cross multiply
    332,974.50x = 540,984 × 540,984
  4. Step 4: Simplify right side
    332,974.50x = 292,663,688,256
  5. Step 5: Solve for x
    x = 292,663,688,256/332,974.50
  6. Step 6: Final answer
    x = 878,937.24

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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.