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Finding the Third Proportional to 322,994.25 and 495,790.88

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Solution

The third proportional to 322,994.25 and 495,790.88 is: 761,030.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,994.25 : 495,790.88 = 495,790.88 : x
  2. Step 2: Convert to fraction form
    322,994.25/495,790.88 = 495,790.88/x
  3. Step 3: Cross multiply
    322,994.25x = 495,790.88 × 495,790.88
  4. Step 4: Simplify right side
    322,994.25x = 245,808,591,733.27
  5. Step 5: Solve for x
    x = 245,808,591,733.27/322,994.25
  6. Step 6: Final answer
    x = 761,030.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.