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Finding the Third Proportional to 208,598.06 and 454,373.44

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Solution

The third proportional to 208,598.06 and 454,373.44 is: 989,727.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,598.06 : 454,373.44 = 454,373.44 : x
  2. Step 2: Convert to fraction form
    208,598.06/454,373.44 = 454,373.44/x
  3. Step 3: Cross multiply
    208,598.06x = 454,373.44 × 454,373.44
  4. Step 4: Simplify right side
    208,598.06x = 206,455,220,705.57
  5. Step 5: Solve for x
    x = 206,455,220,705.57/208,598.06
  6. Step 6: Final answer
    x = 989,727.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.