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Finding the Third Proportional to 696,606.49 and 980,984.83

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Solution

The third proportional to 696,606.49 and 980,984.83 is: 1,381,456.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,606.49 : 980,984.83 = 980,984.83 : x
  2. Step 2: Convert to fraction form
    696,606.49/980,984.83 = 980,984.83/x
  3. Step 3: Cross multiply
    696,606.49x = 980,984.83 × 980,984.83
  4. Step 4: Simplify right side
    696,606.49x = 962,331,236,843.40
  5. Step 5: Solve for x
    x = 962,331,236,843.40/696,606.49
  6. Step 6: Final answer
    x = 1,381,456.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.