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Finding the Third Proportional to 354,804 and 550,894

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Solution

The third proportional to 354,804 and 550,894 is: 855,357.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,804 : 550,894 = 550,894 : x
  2. Step 2: Convert to fraction form
    354,804/550,894 = 550,894/x
  3. Step 3: Cross multiply
    354,804x = 550,894 × 550,894
  4. Step 4: Simplify right side
    354,804x = 303,484,199,236
  5. Step 5: Solve for x
    x = 303,484,199,236/354,804
  6. Step 6: Final answer
    x = 855,357.32

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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.