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Finding the Third Proportional to 354,735 and 550,756

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Solution

The third proportional to 354,735 and 550,756 is: 855,095.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,735 : 550,756 = 550,756 : x
  2. Step 2: Convert to fraction form
    354,735/550,756 = 550,756/x
  3. Step 3: Cross multiply
    354,735x = 550,756 × 550,756
  4. Step 4: Simplify right side
    354,735x = 303,332,171,536
  5. Step 5: Solve for x
    x = 303,332,171,536/354,735
  6. Step 6: Final answer
    x = 855,095.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.