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Finding the Third Proportional to 332,517.38 and 688,682.25

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Solution

The third proportional to 332,517.38 and 688,682.25 is: 1,426,341.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,517.38 : 688,682.25 = 688,682.25 : x
  2. Step 2: Convert to fraction form
    332,517.38/688,682.25 = 688,682.25/x
  3. Step 3: Cross multiply
    332,517.38x = 688,682.25 × 688,682.25
  4. Step 4: Simplify right side
    332,517.38x = 474,283,241,465.06
  5. Step 5: Solve for x
    x = 474,283,241,465.06/332,517.38
  6. Step 6: Final answer
    x = 1,426,341.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.